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Finding the Fourth Proportional to 32,560.64, 48,548.37 and 29,780.38

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Solution

The fourth proportional to 32,560.64, 48,548.37 and 29,780.38 is: 44,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,560.64 : 48,548.37 = 29,780.38 : x
  2. Step 2: Convert to fraction form
    32,560.64/48,548.37 = 29,780.38/x
  3. Step 3: Cross multiply
    32,560.64x = 48,548.37 × 29,780.38
  4. Step 4: Simplify right side
    32,560.64x = 1,445,788,906.98
  5. Step 5: Solve for x
    x = 1,445,788,906.98/32,560.64
  6. Step 6: Final answer
    x = 44,402.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.