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Finding the Fourth Proportional to 31,287.57, 46,931.49 and 9,101.04

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Solution

The fourth proportional to 31,287.57, 46,931.49 and 9,101.04 is: 13,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.57 : 46,931.49 = 9,101.04 : x
  2. Step 2: Convert to fraction form
    31,287.57/46,931.49 = 9,101.04/x
  3. Step 3: Cross multiply
    31,287.57x = 46,931.49 × 9,101.04
  4. Step 4: Simplify right side
    31,287.57x = 427,125,367.75
  5. Step 5: Solve for x
    x = 427,125,367.75/31,287.57
  6. Step 6: Final answer
    x = 13,651.60

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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.