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Finding the Fourth Proportional to 37,802.60, 52,166.82 and 23,663.24

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Solution

The fourth proportional to 37,802.60, 52,166.82 and 23,663.24 is: 32,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.60 : 52,166.82 = 23,663.24 : x
  2. Step 2: Convert to fraction form
    37,802.60/52,166.82 = 23,663.24/x
  3. Step 3: Cross multiply
    37,802.60x = 52,166.82 × 23,663.24
  4. Step 4: Simplify right side
    37,802.60x = 1,234,435,602.55
  5. Step 5: Solve for x
    x = 1,234,435,602.55/37,802.60
  6. Step 6: Final answer
    x = 32,654.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.