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Finding the Fourth Proportional to 82,197.71, 113,432.64 and 46,387.61

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Solution

The fourth proportional to 82,197.71, 113,432.64 and 46,387.61 is: 64,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.71 : 113,432.64 = 46,387.61 : x
  2. Step 2: Convert to fraction form
    82,197.71/113,432.64 = 46,387.61/x
  3. Step 3: Cross multiply
    82,197.71x = 113,432.64 × 46,387.61
  4. Step 4: Simplify right side
    82,197.71x = 5,261,869,065.59
  5. Step 5: Solve for x
    x = 5,261,869,065.59/82,197.71
  6. Step 6: Final answer
    x = 64,014.79

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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.