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Finding the Fourth Proportional to 71,070.38, 106,608.32 and 18,478.50

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Solution

The fourth proportional to 71,070.38, 106,608.32 and 18,478.50 is: 27,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070.38 : 106,608.32 = 18,478.50 : x
  2. Step 2: Convert to fraction form
    71,070.38/106,608.32 = 18,478.50/x
  3. Step 3: Cross multiply
    71,070.38x = 106,608.32 × 18,478.50
  4. Step 4: Simplify right side
    71,070.38x = 1,969,961,841.12
  5. Step 5: Solve for x
    x = 1,969,961,841.12/71,070.38
  6. Step 6: Final answer
    x = 27,718.47

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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.