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Finding the Fourth Proportional to 77,238.38, 106,574.85 and 43,247.40

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Solution

The fourth proportional to 77,238.38, 106,574.85 and 43,247.40 is: 59,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238.38 : 106,574.85 = 43,247.40 : x
  2. Step 2: Convert to fraction form
    77,238.38/106,574.85 = 43,247.40/x
  3. Step 3: Cross multiply
    77,238.38x = 106,574.85 × 43,247.40
  4. Step 4: Simplify right side
    77,238.38x = 4,609,085,167.89
  5. Step 5: Solve for x
    x = 4,609,085,167.89/77,238.38
  6. Step 6: Final answer
    x = 59,673.51

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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.