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Finding the Fourth Proportional to 73,679.77, 110,427.17 and 31,510.25

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Solution

The fourth proportional to 73,679.77, 110,427.17 and 31,510.25 is: 47,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,679.77 : 110,427.17 = 31,510.25 : x
  2. Step 2: Convert to fraction form
    73,679.77/110,427.17 = 31,510.25/x
  3. Step 3: Cross multiply
    73,679.77x = 110,427.17 × 31,510.25
  4. Step 4: Simplify right side
    73,679.77x = 3,479,587,733.49
  5. Step 5: Solve for x
    x = 3,479,587,733.49/73,679.77
  6. Step 6: Final answer
    x = 47,225.82

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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.