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Finding the Fourth Proportional to 82,513, 113,873.56 and 46,702.88

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Solution

The fourth proportional to 82,513, 113,873.56 and 46,702.88 is: 64,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513 : 113,873.56 = 46,702.88 : x
  2. Step 2: Convert to fraction form
    82,513/113,873.56 = 46,702.88/x
  3. Step 3: Cross multiply
    82,513x = 113,873.56 × 46,702.88
  4. Step 4: Simplify right side
    82,513x = 5,318,223,207.85
  5. Step 5: Solve for x
    x = 5,318,223,207.85/82,513
  6. Step 6: Final answer
    x = 64,453.16

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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.