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Finding the Fourth Proportional to 39,659.16, 59,489.94 and 10,077

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Solution

The fourth proportional to 39,659.16, 59,489.94 and 10,077 is: 15,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,659.16 : 59,489.94 = 10,077 : x
  2. Step 2: Convert to fraction form
    39,659.16/59,489.94 = 10,077/x
  3. Step 3: Cross multiply
    39,659.16x = 59,489.94 × 10,077
  4. Step 4: Simplify right side
    39,659.16x = 599,480,125.38
  5. Step 5: Solve for x
    x = 599,480,125.38/39,659.16
  6. Step 6: Final answer
    x = 15,115.80

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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.