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Finding the Fourth Proportional to 32,762.88, 49,137.84 and 9,391.68

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Solution

The fourth proportional to 32,762.88, 49,137.84 and 9,391.68 is: 14,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.88 : 49,137.84 = 9,391.68 : x
  2. Step 2: Convert to fraction form
    32,762.88/49,137.84 = 9,391.68/x
  3. Step 3: Cross multiply
    32,762.88x = 49,137.84 × 9,391.68
  4. Step 4: Simplify right side
    32,762.88x = 461,486,869.17
  5. Step 5: Solve for x
    x = 461,486,869.17/32,762.88
  6. Step 6: Final answer
    x = 14,085.66

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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.