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Finding the Fourth Proportional to 52,563, 72,543.66 and 34,695.21

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Solution

The fourth proportional to 52,563, 72,543.66 and 34,695.21 is: 47,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,563 : 72,543.66 = 34,695.21 : x
  2. Step 2: Convert to fraction form
    52,563/72,543.66 = 34,695.21/x
  3. Step 3: Cross multiply
    52,563x = 72,543.66 × 34,695.21
  4. Step 4: Simplify right side
    52,563x = 2,516,917,517.87
  5. Step 5: Solve for x
    x = 2,516,917,517.87/52,563
  6. Step 6: Final answer
    x = 47,883.83

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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.