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Finding the Fourth Proportional to 31,513.32, 47,265.72 and 9,329.04

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Solution

The fourth proportional to 31,513.32, 47,265.72 and 9,329.04 is: 13,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513.32 : 47,265.72 = 9,329.04 : x
  2. Step 2: Convert to fraction form
    31,513.32/47,265.72 = 9,329.04/x
  3. Step 3: Cross multiply
    31,513.32x = 47,265.72 × 9,329.04
  4. Step 4: Simplify right side
    31,513.32x = 440,943,792.51
  5. Step 5: Solve for x
    x = 440,943,792.51/31,513.32
  6. Step 6: Final answer
    x = 13,992.30

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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.