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Finding the Fourth Proportional to 95,102.54, 142,677.50 and 28,543.90

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Solution

The fourth proportional to 95,102.54, 142,677.50 and 28,543.90 is: 42,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,102.54 : 142,677.50 = 28,543.90 : x
  2. Step 2: Convert to fraction form
    95,102.54/142,677.50 = 28,543.90/x
  3. Step 3: Cross multiply
    95,102.54x = 142,677.50 × 28,543.90
  4. Step 4: Simplify right side
    95,102.54x = 4,072,572,292.25
  5. Step 5: Solve for x
    x = 4,072,572,292.25/95,102.54
  6. Step 6: Final answer
    x = 42,822.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.