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Finding the Fourth Proportional to 71,543.44, 98,661 and 46,023.58

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Solution

The fourth proportional to 71,543.44, 98,661 and 46,023.58 is: 63,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.44 : 98,661 = 46,023.58 : x
  2. Step 2: Convert to fraction form
    71,543.44/98,661 = 46,023.58/x
  3. Step 3: Cross multiply
    71,543.44x = 98,661 × 46,023.58
  4. Step 4: Simplify right side
    71,543.44x = 4,540,732,426.38
  5. Step 5: Solve for x
    x = 4,540,732,426.38/71,543.44
  6. Step 6: Final answer
    x = 63,468.19

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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.