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Finding the Fourth Proportional to 32,943,892.80, 49,472,526.24 and 31,526,716.80

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Solution

The fourth proportional to 32,943,892.80, 49,472,526.24 and 31,526,716.80 is: 47,344,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943,892.80 : 49,472,526.24 = 31,526,716.80 : x
  2. Step 2: Convert to fraction form
    32,943,892.80/49,472,526.24 = 31,526,716.80/x
  3. Step 3: Cross multiply
    32,943,892.80x = 49,472,526.24 × 31,526,716.80
  4. Step 4: Simplify right side
    32,943,892.80x = 1,559,706,324,149,049
  5. Step 5: Solve for x
    x = 1,559,706,324,149,049/32,943,892.80
  6. Step 6: Final answer
    x = 47,344,323.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.