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Finding the Fourth Proportional to 102,466.88, 153,700.17 and 27,587.11

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Solution

The fourth proportional to 102,466.88, 153,700.17 and 27,587.11 is: 41,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466.88 : 153,700.17 = 27,587.11 : x
  2. Step 2: Convert to fraction form
    102,466.88/153,700.17 = 27,587.11/x
  3. Step 3: Cross multiply
    102,466.88x = 153,700.17 × 27,587.11
  4. Step 4: Simplify right side
    102,466.88x = 4,240,143,496.81
  5. Step 5: Solve for x
    x = 4,240,143,496.81/102,466.88
  6. Step 6: Final answer
    x = 41,380.62

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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.