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Finding the Fourth Proportional to 102,577.68, 153,851.11 and 32,447.88

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Solution

The fourth proportional to 102,577.68, 153,851.11 and 32,447.88 is: 48,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,577.68 : 153,851.11 = 32,447.88 : x
  2. Step 2: Convert to fraction form
    102,577.68/153,851.11 = 32,447.88/x
  3. Step 3: Cross multiply
    102,577.68x = 153,851.11 × 32,447.88
  4. Step 4: Simplify right side
    102,577.68x = 4,992,142,355.15
  5. Step 5: Solve for x
    x = 4,992,142,355.15/102,577.68
  6. Step 6: Final answer
    x = 48,666.95

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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.