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Finding the Fourth Proportional to 76,652.92, 105,780.78 and 42,661.24

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Solution

The fourth proportional to 76,652.92, 105,780.78 and 42,661.24 is: 58,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,652.92 : 105,780.78 = 42,661.24 : x
  2. Step 2: Convert to fraction form
    76,652.92/105,780.78 = 42,661.24/x
  3. Step 3: Cross multiply
    76,652.92x = 105,780.78 × 42,661.24
  4. Step 4: Simplify right side
    76,652.92x = 4,512,739,242.97
  5. Step 5: Solve for x
    x = 4,512,739,242.97/76,652.92
  6. Step 6: Final answer
    x = 58,872.37

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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.