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Finding the Fourth Proportional to 59,472, 82,071.36 and 32,976

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Solution

The fourth proportional to 59,472, 82,071.36 and 32,976 is: 45,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472 : 82,071.36 = 32,976 : x
  2. Step 2: Convert to fraction form
    59,472/82,071.36 = 32,976/x
  3. Step 3: Cross multiply
    59,472x = 82,071.36 × 32,976
  4. Step 4: Simplify right side
    59,472x = 2,706,385,167.36
  5. Step 5: Solve for x
    x = 2,706,385,167.36/59,472
  6. Step 6: Final answer
    x = 45,506.88

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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.