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Finding the Fourth Proportional to 98,221.50, 147,335.91 and 31,662.60

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Solution

The fourth proportional to 98,221.50, 147,335.91 and 31,662.60 is: 47,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221.50 : 147,335.91 = 31,662.60 : x
  2. Step 2: Convert to fraction form
    98,221.50/147,335.91 = 31,662.60/x
  3. Step 3: Cross multiply
    98,221.50x = 147,335.91 × 31,662.60
  4. Step 4: Simplify right side
    98,221.50x = 4,665,037,983.97
  5. Step 5: Solve for x
    x = 4,665,037,983.97/98,221.50
  6. Step 6: Final answer
    x = 47,495.08

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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.