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Finding the Fourth Proportional to 52,032.54, 71,805.03 and 28,159.47

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Solution

The fourth proportional to 52,032.54, 71,805.03 and 28,159.47 is: 38,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.54 : 71,805.03 = 28,159.47 : x
  2. Step 2: Convert to fraction form
    52,032.54/71,805.03 = 28,159.47/x
  3. Step 3: Cross multiply
    52,032.54x = 71,805.03 × 28,159.47
  4. Step 4: Simplify right side
    52,032.54x = 2,021,991,588.13
  5. Step 5: Solve for x
    x = 2,021,991,588.13/52,032.54
  6. Step 6: Final answer
    x = 38,860.14

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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.