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Finding the Fourth Proportional to 101,312.78, 151,967.49 and 38,996.78

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Solution

The fourth proportional to 101,312.78, 151,967.49 and 38,996.78 is: 58,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,312.78 : 151,967.49 = 38,996.78 : x
  2. Step 2: Convert to fraction form
    101,312.78/151,967.49 = 38,996.78/x
  3. Step 3: Cross multiply
    101,312.78x = 151,967.49 × 38,996.78
  4. Step 4: Simplify right side
    101,312.78x = 5,926,242,774.68
  5. Step 5: Solve for x
    x = 5,926,242,774.68/101,312.78
  6. Step 6: Final answer
    x = 58,494.52

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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.