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Finding the Fourth Proportional to 48,665, 67,157.76 and 26,309

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Solution

The fourth proportional to 48,665, 67,157.76 and 26,309 is: 36,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,665 : 67,157.76 = 26,309 : x
  2. Step 2: Convert to fraction form
    48,665/67,157.76 = 26,309/x
  3. Step 3: Cross multiply
    48,665x = 67,157.76 × 26,309
  4. Step 4: Simplify right side
    48,665x = 1,766,853,507.84
  5. Step 5: Solve for x
    x = 1,766,853,507.84/48,665
  6. Step 6: Final answer
    x = 36,306.45

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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.