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Finding the Fourth Proportional to 52,032.38, 71,804.54 and 28,159.04

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Solution

The fourth proportional to 52,032.38, 71,804.54 and 28,159.04 is: 38,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.38 : 71,804.54 = 28,159.04 : x
  2. Step 2: Convert to fraction form
    52,032.38/71,804.54 = 28,159.04/x
  3. Step 3: Cross multiply
    52,032.38x = 71,804.54 × 28,159.04
  4. Step 4: Simplify right side
    52,032.38x = 2,021,947,163.95
  5. Step 5: Solve for x
    x = 2,021,947,163.95/52,032.38
  6. Step 6: Final answer
    x = 38,859.41

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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.