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Finding the Fourth Proportional to 90,076, 135,114.48 and 24,412

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Solution

The fourth proportional to 90,076, 135,114.48 and 24,412 is: 36,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,076 : 135,114.48 = 24,412 : x
  2. Step 2: Convert to fraction form
    90,076/135,114.48 = 24,412/x
  3. Step 3: Cross multiply
    90,076x = 135,114.48 × 24,412
  4. Step 4: Simplify right side
    90,076x = 3,298,414,685.76
  5. Step 5: Solve for x
    x = 3,298,414,685.76/90,076
  6. Step 6: Final answer
    x = 36,618.13

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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.