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Finding the Fourth Proportional to 34,473.60, 51,711.84 and 20,592

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Solution

The fourth proportional to 34,473.60, 51,711.84 and 20,592 is: 30,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.60 : 51,711.84 = 20,592 : x
  2. Step 2: Convert to fraction form
    34,473.60/51,711.84 = 20,592/x
  3. Step 3: Cross multiply
    34,473.60x = 51,711.84 × 20,592
  4. Step 4: Simplify right side
    34,473.60x = 1,064,850,209.28
  5. Step 5: Solve for x
    x = 1,064,850,209.28/34,473.60
  6. Step 6: Final answer
    x = 30,888.86

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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.