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Finding the Fourth Proportional to 82,866.80, 114,352.52 and 48,414.74

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Solution

The fourth proportional to 82,866.80, 114,352.52 and 48,414.74 is: 66,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.80 : 114,352.52 = 48,414.74 : x
  2. Step 2: Convert to fraction form
    82,866.80/114,352.52 = 48,414.74/x
  3. Step 3: Cross multiply
    82,866.80x = 114,352.52 × 48,414.74
  4. Step 4: Simplify right side
    82,866.80x = 5,536,346,710.31
  5. Step 5: Solve for x
    x = 5,536,346,710.31/82,866.80
  6. Step 6: Final answer
    x = 66,810.19

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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.