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Finding the Fourth Proportional to 83,757, 115,584.66 and 46,031.25

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Solution

The fourth proportional to 83,757, 115,584.66 and 46,031.25 is: 63,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757 : 115,584.66 = 46,031.25 : x
  2. Step 2: Convert to fraction form
    83,757/115,584.66 = 46,031.25/x
  3. Step 3: Cross multiply
    83,757x = 115,584.66 × 46,031.25
  4. Step 4: Simplify right side
    83,757x = 5,320,506,380.63
  5. Step 5: Solve for x
    x = 5,320,506,380.63/83,757
  6. Step 6: Final answer
    x = 63,523.13

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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.