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Finding the Fourth Proportional to 58,932, 81,324 and 32,073.84

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Solution

The fourth proportional to 58,932, 81,324 and 32,073.84 is: 44,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,932 : 81,324 = 32,073.84 : x
  2. Step 2: Convert to fraction form
    58,932/81,324 = 32,073.84/x
  3. Step 3: Cross multiply
    58,932x = 81,324 × 32,073.84
  4. Step 4: Simplify right side
    58,932x = 2,608,372,964.16
  5. Step 5: Solve for x
    x = 2,608,372,964.16/58,932
  6. Step 6: Final answer
    x = 44,260.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.