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Finding the Fourth Proportional to 48,960, 67,564.80 and 26,604

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Solution

The fourth proportional to 48,960, 67,564.80 and 26,604 is: 36,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 67,564.80 = 26,604 : x
  2. Step 2: Convert to fraction form
    48,960/67,564.80 = 26,604/x
  3. Step 3: Cross multiply
    48,960x = 67,564.80 × 26,604
  4. Step 4: Simplify right side
    48,960x = 1,797,493,939.20
  5. Step 5: Solve for x
    x = 1,797,493,939.20/48,960
  6. Step 6: Final answer
    x = 36,713.52

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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.