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Finding the Fourth Proportional to 76,842.86, 106,053.56 and 45,024.44

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Solution

The fourth proportional to 76,842.86, 106,053.56 and 45,024.44 is: 62,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.86 : 106,053.56 = 45,024.44 : x
  2. Step 2: Convert to fraction form
    76,842.86/106,053.56 = 45,024.44/x
  3. Step 3: Cross multiply
    76,842.86x = 106,053.56 × 45,024.44
  4. Step 4: Simplify right side
    76,842.86x = 4,775,002,149.01
  5. Step 5: Solve for x
    x = 4,775,002,149.01/76,842.86
  6. Step 6: Final answer
    x = 62,139.83

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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.