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Finding the Fourth Proportional to 55,156.46, 82,747.65 and 15,714.14

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Solution

The fourth proportional to 55,156.46, 82,747.65 and 15,714.14 is: 23,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,156.46 : 82,747.65 = 15,714.14 : x
  2. Step 2: Convert to fraction form
    55,156.46/82,747.65 = 15,714.14/x
  3. Step 3: Cross multiply
    55,156.46x = 82,747.65 × 15,714.14
  4. Step 4: Simplify right side
    55,156.46x = 1,300,308,156.77
  5. Step 5: Solve for x
    x = 1,300,308,156.77/55,156.46
  6. Step 6: Final answer
    x = 23,574.90

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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.