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Finding the Fourth Proportional to 64,052.68, 95,950.24 and 31,934.84

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Solution

The fourth proportional to 64,052.68, 95,950.24 and 31,934.84 is: 47,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052.68 : 95,950.24 = 31,934.84 : x
  2. Step 2: Convert to fraction form
    64,052.68/95,950.24 = 31,934.84/x
  3. Step 3: Cross multiply
    64,052.68x = 95,950.24 × 31,934.84
  4. Step 4: Simplify right side
    64,052.68x = 3,064,155,562.36
  5. Step 5: Solve for x
    x = 3,064,155,562.36/64,052.68
  6. Step 6: Final answer
    x = 47,838.05

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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.