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Finding the Fourth Proportional to 85,728.80, 128,666.10 and 38,416.70

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Solution

The fourth proportional to 85,728.80, 128,666.10 and 38,416.70 is: 57,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.80 : 128,666.10 = 38,416.70 : x
  2. Step 2: Convert to fraction form
    85,728.80/128,666.10 = 38,416.70/x
  3. Step 3: Cross multiply
    85,728.80x = 128,666.10 × 38,416.70
  4. Step 4: Simplify right side
    85,728.80x = 4,942,926,963.87
  5. Step 5: Solve for x
    x = 4,942,926,963.87/85,728.80
  6. Step 6: Final answer
    x = 57,657.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.