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Finding the Fourth Proportional to 47,870.92, 71,806.38 and 22,905.08

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Solution

The fourth proportional to 47,870.92, 71,806.38 and 22,905.08 is: 34,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,870.92 : 71,806.38 = 22,905.08 : x
  2. Step 2: Convert to fraction form
    47,870.92/71,806.38 = 22,905.08/x
  3. Step 3: Cross multiply
    47,870.92x = 71,806.38 × 22,905.08
  4. Step 4: Simplify right side
    47,870.92x = 1,644,730,878.41
  5. Step 5: Solve for x
    x = 1,644,730,878.41/47,870.92
  6. Step 6: Final answer
    x = 34,357.62

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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.