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Finding the Fourth Proportional to 76,202.97, 105,160.01 and 42,211.46

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Solution

The fourth proportional to 76,202.97, 105,160.01 and 42,211.46 is: 58,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.97 : 105,160.01 = 42,211.46 : x
  2. Step 2: Convert to fraction form
    76,202.97/105,160.01 = 42,211.46/x
  3. Step 3: Cross multiply
    76,202.97x = 105,160.01 × 42,211.46
  4. Step 4: Simplify right side
    76,202.97x = 4,438,956,818.86
  5. Step 5: Solve for x
    x = 4,438,956,818.86/76,202.97
  6. Step 6: Final answer
    x = 58,251.76

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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.