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Finding the Fourth Proportional to 82,560.50, 113,933.76 and 54,316.88

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Solution

The fourth proportional to 82,560.50, 113,933.76 and 54,316.88 is: 74,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,560.50 : 113,933.76 = 54,316.88 : x
  2. Step 2: Convert to fraction form
    82,560.50/113,933.76 = 54,316.88/x
  3. Step 3: Cross multiply
    82,560.50x = 113,933.76 × 54,316.88
  4. Step 4: Simplify right side
    82,560.50x = 6,188,526,369.87
  5. Step 5: Solve for x
    x = 6,188,526,369.87/82,560.50
  6. Step 6: Final answer
    x = 74,957.47

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1.5x scale

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.