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Finding the Fourth Proportional to 107,714.78, 161,572.24 and 51,541.68

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Solution

The fourth proportional to 107,714.78, 161,572.24 and 51,541.68 is: 77,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.78 : 161,572.24 = 51,541.68 : x
  2. Step 2: Convert to fraction form
    107,714.78/161,572.24 = 51,541.68/x
  3. Step 3: Cross multiply
    107,714.78x = 161,572.24 × 51,541.68
  4. Step 4: Simplify right side
    107,714.78x = 8,327,704,690.96
  5. Step 5: Solve for x
    x = 8,327,704,690.96/107,714.78
  6. Step 6: Final answer
    x = 77,312.55

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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.