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Finding the Fourth Proportional to 52,030.38, 71,802.43 and 28,157.55

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Solution

The fourth proportional to 52,030.38, 71,802.43 and 28,157.55 is: 38,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.38 : 71,802.43 = 28,157.55 : x
  2. Step 2: Convert to fraction form
    52,030.38/71,802.43 = 28,157.55/x
  3. Step 3: Cross multiply
    52,030.38x = 71,802.43 × 28,157.55
  4. Step 4: Simplify right side
    52,030.38x = 2,021,780,512.85
  5. Step 5: Solve for x
    x = 2,021,780,512.85/52,030.38
  6. Step 6: Final answer
    x = 38,857.69

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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.