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Finding the Fourth Proportional to 30,920.47, 46,387.89 and 13,152.11

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Solution

The fourth proportional to 30,920.47, 46,387.89 and 13,152.11 is: 19,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.47 : 46,387.89 = 13,152.11 : x
  2. Step 2: Convert to fraction form
    30,920.47/46,387.89 = 13,152.11/x
  3. Step 3: Cross multiply
    30,920.47x = 46,387.89 × 13,152.11
  4. Step 4: Simplify right side
    30,920.47x = 610,098,400.01
  5. Step 5: Solve for x
    x = 610,098,400.01/30,920.47
  6. Step 6: Final answer
    x = 19,731.22

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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.