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Finding the Fourth Proportional to 52,032.77, 71,805.23 and 28,159.46

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Solution

The fourth proportional to 52,032.77, 71,805.23 and 28,159.46 is: 38,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.77 : 71,805.23 = 28,159.46 : x
  2. Step 2: Convert to fraction form
    52,032.77/71,805.23 = 28,159.46/x
  3. Step 3: Cross multiply
    52,032.77x = 71,805.23 × 28,159.46
  4. Step 4: Simplify right side
    52,032.77x = 2,021,996,002.15
  5. Step 5: Solve for x
    x = 2,021,996,002.15/52,032.77
  6. Step 6: Final answer
    x = 38,860.05

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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.