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Finding the Fourth Proportional to 52,114.32, 71,917.47 and 28,240.99

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Solution

The fourth proportional to 52,114.32, 71,917.47 and 28,240.99 is: 38,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.32 : 71,917.47 = 28,240.99 : x
  2. Step 2: Convert to fraction form
    52,114.32/71,917.47 = 28,240.99/x
  3. Step 3: Cross multiply
    52,114.32x = 71,917.47 × 28,240.99
  4. Step 4: Simplify right side
    52,114.32x = 2,031,020,371.30
  5. Step 5: Solve for x
    x = 2,031,020,371.30/52,114.32
  6. Step 6: Final answer
    x = 38,972.40

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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.