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Finding the Fourth Proportional to 27,118.50, 40,706.50 and 24,018.63

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Solution

The fourth proportional to 27,118.50, 40,706.50 and 24,018.63 is: 36,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118.50 : 40,706.50 = 24,018.63 : x
  2. Step 2: Convert to fraction form
    27,118.50/40,706.50 = 24,018.63/x
  3. Step 3: Cross multiply
    27,118.50x = 40,706.50 × 24,018.63
  4. Step 4: Simplify right side
    27,118.50x = 977,714,098.52
  5. Step 5: Solve for x
    x = 977,714,098.52/27,118.50
  6. Step 6: Final answer
    x = 36,053.41

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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.