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Finding the Fourth Proportional to 78,286.74, 108,035.08 and 44,294.94

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Solution

The fourth proportional to 78,286.74, 108,035.08 and 44,294.94 is: 61,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.74 : 108,035.08 = 44,294.94 : x
  2. Step 2: Convert to fraction form
    78,286.74/108,035.08 = 44,294.94/x
  3. Step 3: Cross multiply
    78,286.74x = 108,035.08 × 44,294.94
  4. Step 4: Simplify right side
    78,286.74x = 4,785,407,386.50
  5. Step 5: Solve for x
    x = 4,785,407,386.50/78,286.74
  6. Step 6: Final answer
    x = 61,126.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.