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Finding the Fourth Proportional to 31,239.96, 46,862.34 and 9,053.64

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Solution

The fourth proportional to 31,239.96, 46,862.34 and 9,053.64 is: 13,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239.96 : 46,862.34 = 9,053.64 : x
  2. Step 2: Convert to fraction form
    31,239.96/46,862.34 = 9,053.64/x
  3. Step 3: Cross multiply
    31,239.96x = 46,862.34 × 9,053.64
  4. Step 4: Simplify right side
    31,239.96x = 424,274,755.92
  5. Step 5: Solve for x
    x = 424,274,755.92/31,239.96
  6. Step 6: Final answer
    x = 13,581.16

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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.