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Finding the Fourth Proportional to 98,005.68, 146,988 and 27,866.16

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Solution

The fourth proportional to 98,005.68, 146,988 and 27,866.16 is: 41,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,005.68 : 146,988 = 27,866.16 : x
  2. Step 2: Convert to fraction form
    98,005.68/146,988 = 27,866.16/x
  3. Step 3: Cross multiply
    98,005.68x = 146,988 × 27,866.16
  4. Step 4: Simplify right side
    98,005.68x = 4,095,991,126.08
  5. Step 5: Solve for x
    x = 4,095,991,126.08/98,005.68
  6. Step 6: Final answer
    x = 41,793.41

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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.