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Finding the Fourth Proportional to 67,686.40, 101,558.40 and 42,745.60

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Solution

The fourth proportional to 67,686.40, 101,558.40 and 42,745.60 is: 64,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,686.40 : 101,558.40 = 42,745.60 : x
  2. Step 2: Convert to fraction form
    67,686.40/101,558.40 = 42,745.60/x
  3. Step 3: Cross multiply
    67,686.40x = 101,558.40 × 42,745.60
  4. Step 4: Simplify right side
    67,686.40x = 4,341,174,743.04
  5. Step 5: Solve for x
    x = 4,341,174,743.04/67,686.40
  6. Step 6: Final answer
    x = 64,136.59

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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.