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Finding the Fourth Proportional to 52,052, 71,812.16 and 34,156.88

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Solution

The fourth proportional to 52,052, 71,812.16 and 34,156.88 is: 47,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052 : 71,812.16 = 34,156.88 : x
  2. Step 2: Convert to fraction form
    52,052/71,812.16 = 34,156.88/x
  3. Step 3: Cross multiply
    52,052x = 71,812.16 × 34,156.88
  4. Step 4: Simplify right side
    52,052x = 2,452,879,331.66
  5. Step 5: Solve for x
    x = 2,452,879,331.66/52,052
  6. Step 6: Final answer
    x = 47,123.63

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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.