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Finding the Fourth Proportional to 59,233.50, 81,742.03 and 32,376

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Solution

The fourth proportional to 59,233.50, 81,742.03 and 32,376 is: 44,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,233.50 : 81,742.03 = 32,376 : x
  2. Step 2: Convert to fraction form
    59,233.50/81,742.03 = 32,376/x
  3. Step 3: Cross multiply
    59,233.50x = 81,742.03 × 32,376
  4. Step 4: Simplify right side
    59,233.50x = 2,646,479,963.28
  5. Step 5: Solve for x
    x = 2,646,479,963.28/59,233.50
  6. Step 6: Final answer
    x = 44,678.77

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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.