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Finding the Fourth Proportional to 57,541.61, 86,150.10 and 30,462.59

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Solution

The fourth proportional to 57,541.61, 86,150.10 and 30,462.59 is: 45,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,541.61 : 86,150.10 = 30,462.59 : x
  2. Step 2: Convert to fraction form
    57,541.61/86,150.10 = 30,462.59/x
  3. Step 3: Cross multiply
    57,541.61x = 86,150.10 × 30,462.59
  4. Step 4: Simplify right side
    57,541.61x = 2,624,355,174.76
  5. Step 5: Solve for x
    x = 2,624,355,174.76/57,541.61
  6. Step 6: Final answer
    x = 45,607.96

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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.