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Finding the Fourth Proportional to 48,842, 67,402 and 26,486

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Solution

The fourth proportional to 48,842, 67,402 and 26,486 is: 36,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,842 : 67,402 = 26,486 : x
  2. Step 2: Convert to fraction form
    48,842/67,402 = 26,486/x
  3. Step 3: Cross multiply
    48,842x = 67,402 × 26,486
  4. Step 4: Simplify right side
    48,842x = 1,785,209,372
  5. Step 5: Solve for x
    x = 1,785,209,372/48,842
  6. Step 6: Final answer
    x = 36,550.70

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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.