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Finding the Fourth Proportional to 77,293, 115,972.86 and 41,747.26

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Solution

The fourth proportional to 77,293, 115,972.86 and 41,747.26 is: 62,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,293 : 115,972.86 = 41,747.26 : x
  2. Step 2: Convert to fraction form
    77,293/115,972.86 = 41,747.26/x
  3. Step 3: Cross multiply
    77,293x = 115,972.86 × 41,747.26
  4. Step 4: Simplify right side
    77,293x = 4,841,549,139.36
  5. Step 5: Solve for x
    x = 4,841,549,139.36/77,293
  6. Step 6: Final answer
    x = 62,638.91

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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.