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Finding the Fourth Proportional to 52,003.76, 71,765.06 and 28,130.36

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Solution

The fourth proportional to 52,003.76, 71,765.06 and 28,130.36 is: 38,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.76 : 71,765.06 = 28,130.36 : x
  2. Step 2: Convert to fraction form
    52,003.76/71,765.06 = 28,130.36/x
  3. Step 3: Cross multiply
    52,003.76x = 71,765.06 × 28,130.36
  4. Step 4: Simplify right side
    52,003.76x = 2,018,776,473.74
  5. Step 5: Solve for x
    x = 2,018,776,473.74/52,003.76
  6. Step 6: Final answer
    x = 38,819.82

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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.