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Finding the Fourth Proportional to 65,057.81, 89,780.47 and 38,200.64

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Solution

The fourth proportional to 65,057.81, 89,780.47 and 38,200.64 is: 52,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.81 : 89,780.47 = 38,200.64 : x
  2. Step 2: Convert to fraction form
    65,057.81/89,780.47 = 38,200.64/x
  3. Step 3: Cross multiply
    65,057.81x = 89,780.47 × 38,200.64
  4. Step 4: Simplify right side
    65,057.81x = 3,429,670,869.10
  5. Step 5: Solve for x
    x = 3,429,670,869.10/65,057.81
  6. Step 6: Final answer
    x = 52,717.29

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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.