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Finding the Fourth Proportional to 101,547.24, 152,321.10 and 27,675.24

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Solution

The fourth proportional to 101,547.24, 152,321.10 and 27,675.24 is: 41,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,547.24 : 152,321.10 = 27,675.24 : x
  2. Step 2: Convert to fraction form
    101,547.24/152,321.10 = 27,675.24/x
  3. Step 3: Cross multiply
    101,547.24x = 152,321.10 × 27,675.24
  4. Step 4: Simplify right side
    101,547.24x = 4,215,522,999.56
  5. Step 5: Solve for x
    x = 4,215,522,999.56/101,547.24
  6. Step 6: Final answer
    x = 41,512.93

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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.