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Finding the Fourth Proportional to 39,754, 54,872.04 and 26,506

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Solution

The fourth proportional to 39,754, 54,872.04 and 26,506 is: 36,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 54,872.04 = 26,506 : x
  2. Step 2: Convert to fraction form
    39,754/54,872.04 = 26,506/x
  3. Step 3: Cross multiply
    39,754x = 54,872.04 × 26,506
  4. Step 4: Simplify right side
    39,754x = 1,454,438,292.24
  5. Step 5: Solve for x
    x = 1,454,438,292.24/39,754
  6. Step 6: Final answer
    x = 36,585.96

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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.