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Finding the Fourth Proportional to 98,469.84, 147,707.80 and 38,495.92

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Solution

The fourth proportional to 98,469.84, 147,707.80 and 38,495.92 is: 57,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469.84 : 147,707.80 = 38,495.92 : x
  2. Step 2: Convert to fraction form
    98,469.84/147,707.80 = 38,495.92/x
  3. Step 3: Cross multiply
    98,469.84x = 147,707.80 × 38,495.92
  4. Step 4: Simplify right side
    98,469.84x = 5,686,147,459.70
  5. Step 5: Solve for x
    x = 5,686,147,459.70/98,469.84
  6. Step 6: Final answer
    x = 57,745.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.