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Finding the Fourth Proportional to 82,766.50, 114,217.77 and 45,041.02

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Solution

The fourth proportional to 82,766.50, 114,217.77 and 45,041.02 is: 62,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,766.50 : 114,217.77 = 45,041.02 : x
  2. Step 2: Convert to fraction form
    82,766.50/114,217.77 = 45,041.02/x
  3. Step 3: Cross multiply
    82,766.50x = 114,217.77 × 45,041.02
  4. Step 4: Simplify right side
    82,766.50x = 5,144,484,862.93
  5. Step 5: Solve for x
    x = 5,144,484,862.93/82,766.50
  6. Step 6: Final answer
    x = 62,156.61

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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.