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Finding the Fourth Proportional to 127,597.44, 191,424.81 and 38,857.95

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Solution

The fourth proportional to 127,597.44, 191,424.81 and 38,857.95 is: 58,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,597.44 : 191,424.81 = 38,857.95 : x
  2. Step 2: Convert to fraction form
    127,597.44/191,424.81 = 38,857.95/x
  3. Step 3: Cross multiply
    127,597.44x = 191,424.81 × 38,857.95
  4. Step 4: Simplify right side
    127,597.44x = 7,438,375,695.74
  5. Step 5: Solve for x
    x = 7,438,375,695.74/127,597.44
  6. Step 6: Final answer
    x = 58,295.65

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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.