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Finding the Fourth Proportional to 157,054.82, 235,584.72 and 38,726.19

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Solution

The fourth proportional to 157,054.82, 235,584.72 and 38,726.19 is: 58,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054.82 : 235,584.72 = 38,726.19 : x
  2. Step 2: Convert to fraction form
    157,054.82/235,584.72 = 38,726.19/x
  3. Step 3: Cross multiply
    157,054.82x = 235,584.72 × 38,726.19
  4. Step 4: Simplify right side
    157,054.82x = 9,123,298,627.82
  5. Step 5: Solve for x
    x = 9,123,298,627.82/157,054.82
  6. Step 6: Final answer
    x = 58,089.90

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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.