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Finding the Fourth Proportional to 98,856, 148,284 and 39,732.48

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Solution

The fourth proportional to 98,856, 148,284 and 39,732.48 is: 59,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,856 : 148,284 = 39,732.48 : x
  2. Step 2: Convert to fraction form
    98,856/148,284 = 39,732.48/x
  3. Step 3: Cross multiply
    98,856x = 148,284 × 39,732.48
  4. Step 4: Simplify right side
    98,856x = 5,891,691,064.32
  5. Step 5: Solve for x
    x = 5,891,691,064.32/98,856
  6. Step 6: Final answer
    x = 59,598.72

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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.