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Finding the Fourth Proportional to 65,134.12, 97,629.42 and 42,617.76

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Solution

The fourth proportional to 65,134.12, 97,629.42 and 42,617.76 is: 63,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.12 : 97,629.42 = 42,617.76 : x
  2. Step 2: Convert to fraction form
    65,134.12/97,629.42 = 42,617.76/x
  3. Step 3: Cross multiply
    65,134.12x = 97,629.42 × 42,617.76
  4. Step 4: Simplify right side
    65,134.12x = 4,160,747,190.50
  5. Step 5: Solve for x
    x = 4,160,747,190.50/65,134.12
  6. Step 6: Final answer
    x = 63,879.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.