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Finding the Fourth Proportional to 98,027.40, 147,060.17 and 31,462.41

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Solution

The fourth proportional to 98,027.40, 147,060.17 and 31,462.41 is: 47,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,027.40 : 147,060.17 = 31,462.41 : x
  2. Step 2: Convert to fraction form
    98,027.40/147,060.17 = 31,462.41/x
  3. Step 3: Cross multiply
    98,027.40x = 147,060.17 × 31,462.41
  4. Step 4: Simplify right side
    98,027.40x = 4,626,867,363.21
  5. Step 5: Solve for x
    x = 4,626,867,363.21/98,027.40
  6. Step 6: Final answer
    x = 47,199.74

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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.