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Finding the Fourth Proportional to 83,376.28, 115,079.52 and 51,526

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Solution

The fourth proportional to 83,376.28, 115,079.52 and 51,526 is: 71,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376.28 : 115,079.52 = 51,526 : x
  2. Step 2: Convert to fraction form
    83,376.28/115,079.52 = 51,526/x
  3. Step 3: Cross multiply
    83,376.28x = 115,079.52 × 51,526
  4. Step 4: Simplify right side
    83,376.28x = 5,929,587,347.52
  5. Step 5: Solve for x
    x = 5,929,587,347.52/83,376.28
  6. Step 6: Final answer
    x = 71,118.40

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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.