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Finding the Fourth Proportional to 47,660.42, 71,444.14 and 22,693.76

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Solution

The fourth proportional to 47,660.42, 71,444.14 and 22,693.76 is: 34,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.42 : 71,444.14 = 22,693.76 : x
  2. Step 2: Convert to fraction form
    47,660.42/71,444.14 = 22,693.76/x
  3. Step 3: Cross multiply
    47,660.42x = 71,444.14 × 22,693.76
  4. Step 4: Simplify right side
    47,660.42x = 1,621,336,166.57
  5. Step 5: Solve for x
    x = 1,621,336,166.57/47,660.42
  6. Step 6: Final answer
    x = 34,018.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.