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Finding the Fourth Proportional to 82,006.60, 113,179.86 and 46,203.52

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Solution

The fourth proportional to 82,006.60, 113,179.86 and 46,203.52 is: 63,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.60 : 113,179.86 = 46,203.52 : x
  2. Step 2: Convert to fraction form
    82,006.60/113,179.86 = 46,203.52/x
  3. Step 3: Cross multiply
    82,006.60x = 113,179.86 × 46,203.52
  4. Step 4: Simplify right side
    82,006.60x = 5,229,307,925.11
  5. Step 5: Solve for x
    x = 5,229,307,925.11/82,006.60
  6. Step 6: Final answer
    x = 63,766.92

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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.