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Finding the Fourth Proportional to 101,788.79, 152,663.09 and 34,314.14

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Solution

The fourth proportional to 101,788.79, 152,663.09 and 34,314.14 is: 51,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,788.79 : 152,663.09 = 34,314.14 : x
  2. Step 2: Convert to fraction form
    101,788.79/152,663.09 = 34,314.14/x
  3. Step 3: Cross multiply
    101,788.79x = 152,663.09 × 34,314.14
  4. Step 4: Simplify right side
    101,788.79x = 5,238,502,853.18
  5. Step 5: Solve for x
    x = 5,238,502,853.18/101,788.79
  6. Step 6: Final answer
    x = 51,464.44

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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.