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Finding the Fourth Proportional to 98,139.66, 147,209.52 and 31,584.99

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Solution

The fourth proportional to 98,139.66, 147,209.52 and 31,584.99 is: 47,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,139.66 : 147,209.52 = 31,584.99 : x
  2. Step 2: Convert to fraction form
    98,139.66/147,209.52 = 31,584.99/x
  3. Step 3: Cross multiply
    98,139.66x = 147,209.52 × 31,584.99
  4. Step 4: Simplify right side
    98,139.66x = 4,649,611,217.10
  5. Step 5: Solve for x
    x = 4,649,611,217.10/98,139.66
  6. Step 6: Final answer
    x = 47,377.49

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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.