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Finding the Fourth Proportional to 69,691.74, 104,475.64 and 30,227.32

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Solution

The fourth proportional to 69,691.74, 104,475.64 and 30,227.32 is: 45,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,691.74 : 104,475.64 = 30,227.32 : x
  2. Step 2: Convert to fraction form
    69,691.74/104,475.64 = 30,227.32/x
  3. Step 3: Cross multiply
    69,691.74x = 104,475.64 × 30,227.32
  4. Step 4: Simplify right side
    69,691.74x = 3,158,018,602.48
  5. Step 5: Solve for x
    x = 3,158,018,602.48/69,691.74
  6. Step 6: Final answer
    x = 45,314.10

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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.