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Finding the Fourth Proportional to 57,714.80, 86,564.10 and 18,275.90

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Solution

The fourth proportional to 57,714.80, 86,564.10 and 18,275.90 is: 27,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.80 : 86,564.10 = 18,275.90 : x
  2. Step 2: Convert to fraction form
    57,714.80/86,564.10 = 18,275.90/x
  3. Step 3: Cross multiply
    57,714.80x = 86,564.10 × 18,275.90
  4. Step 4: Simplify right side
    57,714.80x = 1,582,036,835.19
  5. Step 5: Solve for x
    x = 1,582,036,835.19/57,714.80
  6. Step 6: Final answer
    x = 27,411.29

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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.