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Finding the Fourth Proportional to 82,159.96, 113,385.98 and 46,336.88

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Solution

The fourth proportional to 82,159.96, 113,385.98 and 46,336.88 is: 63,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159.96 : 113,385.98 = 46,336.88 : x
  2. Step 2: Convert to fraction form
    82,159.96/113,385.98 = 46,336.88/x
  3. Step 3: Cross multiply
    82,159.96x = 113,385.98 × 46,336.88
  4. Step 4: Simplify right side
    82,159.96x = 5,253,952,548.94
  5. Step 5: Solve for x
    x = 5,253,952,548.94/82,159.96
  6. Step 6: Final answer
    x = 63,947.85

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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.