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Finding the Fourth Proportional to 34,397.76, 47,478.96 and 22,462.92

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Solution

The fourth proportional to 34,397.76, 47,478.96 and 22,462.92 is: 31,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,397.76 : 47,478.96 = 22,462.92 : x
  2. Step 2: Convert to fraction form
    34,397.76/47,478.96 = 22,462.92/x
  3. Step 3: Cross multiply
    34,397.76x = 47,478.96 × 22,462.92
  4. Step 4: Simplify right side
    34,397.76x = 1,066,516,080.16
  5. Step 5: Solve for x
    x = 1,066,516,080.16/34,397.76
  6. Step 6: Final answer
    x = 31,005.39

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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.