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Finding the Fourth Proportional to 98,218.50, 147,331.40 and 31,659.59

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Solution

The fourth proportional to 98,218.50, 147,331.40 and 31,659.59 is: 47,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.50 : 147,331.40 = 31,659.59 : x
  2. Step 2: Convert to fraction form
    98,218.50/147,331.40 = 31,659.59/x
  3. Step 3: Cross multiply
    98,218.50x = 147,331.40 × 31,659.59
  4. Step 4: Simplify right side
    98,218.50x = 4,664,450,823.17
  5. Step 5: Solve for x
    x = 4,664,450,823.17/98,218.50
  6. Step 6: Final answer
    x = 47,490.55

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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.