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Finding the Fourth Proportional to 51,971.40, 77,841.90 and 40,246.60

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Solution

The fourth proportional to 51,971.40, 77,841.90 and 40,246.60 is: 60,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.40 : 77,841.90 = 40,246.60 : x
  2. Step 2: Convert to fraction form
    51,971.40/77,841.90 = 40,246.60/x
  3. Step 3: Cross multiply
    51,971.40x = 77,841.90 × 40,246.60
  4. Step 4: Simplify right side
    51,971.40x = 3,132,871,812.54
  5. Step 5: Solve for x
    x = 3,132,871,812.54/51,971.40
  6. Step 6: Final answer
    x = 60,280.69

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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.