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Finding the Fourth Proportional to 52,015.47, 71,780.82 and 28,141.63

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Solution

The fourth proportional to 52,015.47, 71,780.82 and 28,141.63 is: 38,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.47 : 71,780.82 = 28,141.63 : x
  2. Step 2: Convert to fraction form
    52,015.47/71,780.82 = 28,141.63/x
  3. Step 3: Cross multiply
    52,015.47x = 71,780.82 × 28,141.63
  4. Step 4: Simplify right side
    52,015.47x = 2,020,028,992.55
  5. Step 5: Solve for x
    x = 2,020,028,992.55/52,015.47
  6. Step 6: Final answer
    x = 38,835.16

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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.