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Finding the Fourth Proportional to 59,032, 81,461.20 and 32,174.40

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Solution

The fourth proportional to 59,032, 81,461.20 and 32,174.40 is: 44,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,032 : 81,461.20 = 32,174.40 : x
  2. Step 2: Convert to fraction form
    59,032/81,461.20 = 32,174.40/x
  3. Step 3: Cross multiply
    59,032x = 81,461.20 × 32,174.40
  4. Step 4: Simplify right side
    59,032x = 2,620,965,233.28
  5. Step 5: Solve for x
    x = 2,620,965,233.28/59,032
  6. Step 6: Final answer
    x = 44,399.06

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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.