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Finding the Fourth Proportional to 55,714.10, 83,562.94 and 18,278.13

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Solution

The fourth proportional to 55,714.10, 83,562.94 and 18,278.13 is: 27,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714.10 : 83,562.94 = 18,278.13 : x
  2. Step 2: Convert to fraction form
    55,714.10/83,562.94 = 18,278.13/x
  3. Step 3: Cross multiply
    55,714.10x = 83,562.94 × 18,278.13
  4. Step 4: Simplify right side
    55,714.10x = 1,527,374,280.50
  5. Step 5: Solve for x
    x = 1,527,374,280.50/55,714.10
  6. Step 6: Final answer
    x = 27,414.50

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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.