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Finding the Fourth Proportional to 82,854.10, 114,341.52 and 47,042.92

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Solution

The fourth proportional to 82,854.10, 114,341.52 and 47,042.92 is: 64,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.10 : 114,341.52 = 47,042.92 : x
  2. Step 2: Convert to fraction form
    82,854.10/114,341.52 = 47,042.92/x
  3. Step 3: Cross multiply
    82,854.10x = 114,341.52 × 47,042.92
  4. Step 4: Simplify right side
    82,854.10x = 5,378,958,978.04
  5. Step 5: Solve for x
    x = 5,378,958,978.04/82,854.10
  6. Step 6: Final answer
    x = 64,920.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.