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Finding the Fourth Proportional to 98,234.28, 147,355.20 and 31,675.50

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Solution

The fourth proportional to 98,234.28, 147,355.20 and 31,675.50 is: 47,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.28 : 147,355.20 = 31,675.50 : x
  2. Step 2: Convert to fraction form
    98,234.28/147,355.20 = 31,675.50/x
  3. Step 3: Cross multiply
    98,234.28x = 147,355.20 × 31,675.50
  4. Step 4: Simplify right side
    98,234.28x = 4,667,549,637.60
  5. Step 5: Solve for x
    x = 4,667,549,637.60/98,234.28
  6. Step 6: Final answer
    x = 47,514.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.