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Finding the Fourth Proportional to 47,148.84, 65,065.94 and 25,927.92

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Solution

The fourth proportional to 47,148.84, 65,065.94 and 25,927.92 is: 35,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.84 : 65,065.94 = 25,927.92 : x
  2. Step 2: Convert to fraction form
    47,148.84/65,065.94 = 25,927.92/x
  3. Step 3: Cross multiply
    47,148.84x = 65,065.94 × 25,927.92
  4. Step 4: Simplify right side
    47,148.84x = 1,687,024,487.04
  5. Step 5: Solve for x
    x = 1,687,024,487.04/47,148.84
  6. Step 6: Final answer
    x = 35,780.83

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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.