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Finding the Fourth Proportional to 98,406.14, 147,613.77 and 31,851.50

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Solution

The fourth proportional to 98,406.14, 147,613.77 and 31,851.50 is: 47,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406.14 : 147,613.77 = 31,851.50 : x
  2. Step 2: Convert to fraction form
    98,406.14/147,613.77 = 31,851.50/x
  3. Step 3: Cross multiply
    98,406.14x = 147,613.77 × 31,851.50
  4. Step 4: Simplify right side
    98,406.14x = 4,701,719,257.09
  5. Step 5: Solve for x
    x = 4,701,719,257.09/98,406.14
  6. Step 6: Final answer
    x = 47,778.72

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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.