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Finding the Fourth Proportional to 82,847.74, 124,155.76 and 44,814.90

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Solution

The fourth proportional to 82,847.74, 124,155.76 and 44,814.90 is: 67,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847.74 : 124,155.76 = 44,814.90 : x
  2. Step 2: Convert to fraction form
    82,847.74/124,155.76 = 44,814.90/x
  3. Step 3: Cross multiply
    82,847.74x = 124,155.76 × 44,814.90
  4. Step 4: Simplify right side
    82,847.74x = 5,564,027,968.82
  5. Step 5: Solve for x
    x = 5,564,027,968.82/82,847.74
  6. Step 6: Final answer
    x = 67,159.68

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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.