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Finding the Fourth Proportional to 31,242.90, 46,854.03 and 9,057

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Solution

The fourth proportional to 31,242.90, 46,854.03 and 9,057 is: 13,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.90 : 46,854.03 = 9,057 : x
  2. Step 2: Convert to fraction form
    31,242.90/46,854.03 = 9,057/x
  3. Step 3: Cross multiply
    31,242.90x = 46,854.03 × 9,057
  4. Step 4: Simplify right side
    31,242.90x = 424,356,949.71
  5. Step 5: Solve for x
    x = 424,356,949.71/31,242.90
  6. Step 6: Final answer
    x = 13,582.51

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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.