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Finding the Fourth Proportional to 71,073.32, 106,570.76 and 28,942.60

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Solution

The fourth proportional to 71,073.32, 106,570.76 and 28,942.60 is: 43,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,073.32 : 106,570.76 = 28,942.60 : x
  2. Step 2: Convert to fraction form
    71,073.32/106,570.76 = 28,942.60/x
  3. Step 3: Cross multiply
    71,073.32x = 106,570.76 × 28,942.60
  4. Step 4: Simplify right side
    71,073.32x = 3,084,434,878.38
  5. Step 5: Solve for x
    x = 3,084,434,878.38/71,073.32
  6. Step 6: Final answer
    x = 43,397.93

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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.