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Finding the Fourth Proportional to 78,079.66, 107,749.97 and 42,269.67

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Solution

The fourth proportional to 78,079.66, 107,749.97 and 42,269.67 is: 58,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,079.66 : 107,749.97 = 42,269.67 : x
  2. Step 2: Convert to fraction form
    78,079.66/107,749.97 = 42,269.67/x
  3. Step 3: Cross multiply
    78,079.66x = 107,749.97 × 42,269.67
  4. Step 4: Simplify right side
    78,079.66x = 4,554,555,674.41
  5. Step 5: Solve for x
    x = 4,554,555,674.41/78,079.66
  6. Step 6: Final answer
    x = 58,332.17

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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.