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Finding the Fourth Proportional to 77,309.20, 115,870.20 and 32,842.60

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Solution

The fourth proportional to 77,309.20, 115,870.20 and 32,842.60 is: 49,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.20 : 115,870.20 = 32,842.60 : x
  2. Step 2: Convert to fraction form
    77,309.20/115,870.20 = 32,842.60/x
  3. Step 3: Cross multiply
    77,309.20x = 115,870.20 × 32,842.60
  4. Step 4: Simplify right side
    77,309.20x = 3,805,478,630.52
  5. Step 5: Solve for x
    x = 3,805,478,630.52/77,309.20
  6. Step 6: Final answer
    x = 49,224.14

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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.