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Finding the Fourth Proportional to 52,053.90, 71,834.40 and 28,180.57

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Solution

The fourth proportional to 52,053.90, 71,834.40 and 28,180.57 is: 38,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.90 : 71,834.40 = 28,180.57 : x
  2. Step 2: Convert to fraction form
    52,053.90/71,834.40 = 28,180.57/x
  3. Step 3: Cross multiply
    52,053.90x = 71,834.40 × 28,180.57
  4. Step 4: Simplify right side
    52,053.90x = 2,024,334,292.71
  5. Step 5: Solve for x
    x = 2,024,334,292.71/52,053.90
  6. Step 6: Final answer
    x = 38,889.20

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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.