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Finding the Fourth Proportional to 65,840.75, 98,737.75 and 23,709.52

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Solution

The fourth proportional to 65,840.75, 98,737.75 and 23,709.52 is: 35,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840.75 : 98,737.75 = 23,709.52 : x
  2. Step 2: Convert to fraction form
    65,840.75/98,737.75 = 23,709.52/x
  3. Step 3: Cross multiply
    65,840.75x = 98,737.75 × 23,709.52
  4. Step 4: Simplify right side
    65,840.75x = 2,341,024,658.38
  5. Step 5: Solve for x
    x = 2,341,024,658.38/65,840.75
  6. Step 6: Final answer
    x = 35,555.86

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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.