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Finding the Fourth Proportional to 77,098.40, 115,523.40 and 43,719.20

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Solution

The fourth proportional to 77,098.40, 115,523.40 and 43,719.20 is: 65,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.40 : 115,523.40 = 43,719.20 : x
  2. Step 2: Convert to fraction form
    77,098.40/115,523.40 = 43,719.20/x
  3. Step 3: Cross multiply
    77,098.40x = 115,523.40 × 43,719.20
  4. Step 4: Simplify right side
    77,098.40x = 5,050,590,629.28
  5. Step 5: Solve for x
    x = 5,050,590,629.28/77,098.40
  6. Step 6: Final answer
    x = 65,508.37

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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.