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Finding the Fourth Proportional to 48,754, 67,280.52 and 26,398

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Solution

The fourth proportional to 48,754, 67,280.52 and 26,398 is: 36,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754 : 67,280.52 = 26,398 : x
  2. Step 2: Convert to fraction form
    48,754/67,280.52 = 26,398/x
  3. Step 3: Cross multiply
    48,754x = 67,280.52 × 26,398
  4. Step 4: Simplify right side
    48,754x = 1,776,071,166.96
  5. Step 5: Solve for x
    x = 1,776,071,166.96/48,754
  6. Step 6: Final answer
    x = 36,429.24

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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.