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Finding the Fourth Proportional to 42,099, 63,114.96 and 24,309.49

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Solution

The fourth proportional to 42,099, 63,114.96 and 24,309.49 is: 36,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 63,114.96 = 24,309.49 : x
  2. Step 2: Convert to fraction form
    42,099/63,114.96 = 24,309.49/x
  3. Step 3: Cross multiply
    42,099x = 63,114.96 × 24,309.49
  4. Step 4: Simplify right side
    42,099x = 1,534,292,488.97
  5. Step 5: Solve for x
    x = 1,534,292,488.97/42,099
  6. Step 6: Final answer
    x = 36,444.87

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1.5x scale

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.