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Finding the Fourth Proportional to 31,204.79, 46,807.17 and 10,428.29

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Solution

The fourth proportional to 31,204.79, 46,807.17 and 10,428.29 is: 15,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.79 : 46,807.17 = 10,428.29 : x
  2. Step 2: Convert to fraction form
    31,204.79/46,807.17 = 10,428.29/x
  3. Step 3: Cross multiply
    31,204.79x = 46,807.17 × 10,428.29
  4. Step 4: Simplify right side
    31,204.79x = 488,118,508.80
  5. Step 5: Solve for x
    x = 488,118,508.80/31,204.79
  6. Step 6: Final answer
    x = 15,642.42

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