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Finding the Fourth Proportional to 98,876.82, 148,315.14 and 39,712.50

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Solution

The fourth proportional to 98,876.82, 148,315.14 and 39,712.50 is: 59,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,876.82 : 148,315.14 = 39,712.50 : x
  2. Step 2: Convert to fraction form
    98,876.82/148,315.14 = 39,712.50/x
  3. Step 3: Cross multiply
    98,876.82x = 148,315.14 × 39,712.50
  4. Step 4: Simplify right side
    98,876.82x = 5,889,964,997.25
  5. Step 5: Solve for x
    x = 5,889,964,997.25/98,876.82
  6. Step 6: Final answer
    x = 59,568.71

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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.