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Finding the Fourth Proportional to 98,663.78, 147,982.84 and 39,500.03

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Solution

The fourth proportional to 98,663.78, 147,982.84 and 39,500.03 is: 59,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,663.78 : 147,982.84 = 39,500.03 : x
  2. Step 2: Convert to fraction form
    98,663.78/147,982.84 = 39,500.03/x
  3. Step 3: Cross multiply
    98,663.78x = 147,982.84 × 39,500.03
  4. Step 4: Simplify right side
    98,663.78x = 5,845,326,619.49
  5. Step 5: Solve for x
    x = 5,845,326,619.49/98,663.78
  6. Step 6: Final answer
    x = 59,244.91

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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.