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Finding the Fourth Proportional to 98,082.36, 147,109.50 and 31,513.73

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Solution

The fourth proportional to 98,082.36, 147,109.50 and 31,513.73 is: 47,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082.36 : 147,109.50 = 31,513.73 : x
  2. Step 2: Convert to fraction form
    98,082.36/147,109.50 = 31,513.73/x
  3. Step 3: Cross multiply
    98,082.36x = 147,109.50 × 31,513.73
  4. Step 4: Simplify right side
    98,082.36x = 4,635,968,327.89
  5. Step 5: Solve for x
    x = 4,635,968,327.89/98,082.36
  6. Step 6: Final answer
    x = 47,266.08

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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.