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Finding the Fourth Proportional to 34,148.61, 47,132.61 and 22,191.18

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Solution

The fourth proportional to 34,148.61, 47,132.61 and 22,191.18 is: 30,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148.61 : 47,132.61 = 22,191.18 : x
  2. Step 2: Convert to fraction form
    34,148.61/47,132.61 = 22,191.18/x
  3. Step 3: Cross multiply
    34,148.61x = 47,132.61 × 22,191.18
  4. Step 4: Simplify right side
    34,148.61x = 1,045,928,232.38
  5. Step 5: Solve for x
    x = 1,045,928,232.38/34,148.61
  6. Step 6: Final answer
    x = 30,628.72

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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.