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Finding the Fourth Proportional to 77,101.06, 115,626.81 and 24,498.25

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Solution

The fourth proportional to 77,101.06, 115,626.81 and 24,498.25 is: 36,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.06 : 115,626.81 = 24,498.25 : x
  2. Step 2: Convert to fraction form
    77,101.06/115,626.81 = 24,498.25/x
  3. Step 3: Cross multiply
    77,101.06x = 115,626.81 × 24,498.25
  4. Step 4: Simplify right side
    77,101.06x = 2,832,654,498.08
  5. Step 5: Solve for x
    x = 2,832,654,498.08/77,101.06
  6. Step 6: Final answer
    x = 36,739.50

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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.