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Finding the Fourth Proportional to 83,725.89, 115,542.51 and 46,000.95

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Solution

The fourth proportional to 83,725.89, 115,542.51 and 46,000.95 is: 63,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,725.89 : 115,542.51 = 46,000.95 : x
  2. Step 2: Convert to fraction form
    83,725.89/115,542.51 = 46,000.95/x
  3. Step 3: Cross multiply
    83,725.89x = 115,542.51 × 46,000.95
  4. Step 4: Simplify right side
    83,725.89x = 5,315,065,225.38
  5. Step 5: Solve for x
    x = 5,315,065,225.38/83,725.89
  6. Step 6: Final answer
    x = 63,481.74

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Why These Related Problems?

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