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Finding the Fourth Proportional to 46,646.60, 69,892.14 and 32,770.76

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Solution

The fourth proportional to 46,646.60, 69,892.14 and 32,770.76 is: 49,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646.60 : 69,892.14 = 32,770.76 : x
  2. Step 2: Convert to fraction form
    46,646.60/69,892.14 = 32,770.76/x
  3. Step 3: Cross multiply
    46,646.60x = 69,892.14 × 32,770.76
  4. Step 4: Simplify right side
    46,646.60x = 2,290,418,545.83
  5. Step 5: Solve for x
    x = 2,290,418,545.83/46,646.60
  6. Step 6: Final answer
    x = 49,101.51

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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.