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Finding the Fourth Proportional to 83,513.64, 115,248.06 and 45,787.08

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Solution

The fourth proportional to 83,513.64, 115,248.06 and 45,787.08 is: 63,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,513.64 : 115,248.06 = 45,787.08 : x
  2. Step 2: Convert to fraction form
    83,513.64/115,248.06 = 45,787.08/x
  3. Step 3: Cross multiply
    83,513.64x = 115,248.06 × 45,787.08
  4. Step 4: Simplify right side
    83,513.64x = 5,276,872,143.06
  5. Step 5: Solve for x
    x = 5,276,872,143.06/83,513.64
  6. Step 6: Final answer
    x = 63,185.75

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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.