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Finding the Fourth Proportional to 57,089.72, 85,575.72 and 23,829.14

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Solution

The fourth proportional to 57,089.72, 85,575.72 and 23,829.14 is: 35,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089.72 : 85,575.72 = 23,829.14 : x
  2. Step 2: Convert to fraction form
    57,089.72/85,575.72 = 23,829.14/x
  3. Step 3: Cross multiply
    57,089.72x = 85,575.72 × 23,829.14
  4. Step 4: Simplify right side
    57,089.72x = 2,039,195,812.48
  5. Step 5: Solve for x
    x = 2,039,195,812.48/57,089.72
  6. Step 6: Final answer
    x = 35,719.14

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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.