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Finding the Fourth Proportional to 117,758, 176,593.80 and 38,848.88

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Solution

The fourth proportional to 117,758, 176,593.80 and 38,848.88 is: 58,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,758 : 176,593.80 = 38,848.88 : x
  2. Step 2: Convert to fraction form
    117,758/176,593.80 = 38,848.88/x
  3. Step 3: Cross multiply
    117,758x = 176,593.80 × 38,848.88
  4. Step 4: Simplify right side
    117,758x = 6,860,471,344.94
  5. Step 5: Solve for x
    x = 6,860,471,344.94/117,758
  6. Step 6: Final answer
    x = 58,259.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.