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Finding the Fourth Proportional to 78,368.20, 108,150.27 and 46,105.10

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Solution

The fourth proportional to 78,368.20, 108,150.27 and 46,105.10 is: 63,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.20 : 108,150.27 = 46,105.10 : x
  2. Step 2: Convert to fraction form
    78,368.20/108,150.27 = 46,105.10/x
  3. Step 3: Cross multiply
    78,368.20x = 108,150.27 × 46,105.10
  4. Step 4: Simplify right side
    78,368.20x = 4,986,279,013.38
  5. Step 5: Solve for x
    x = 4,986,279,013.38/78,368.20
  6. Step 6: Final answer
    x = 63,626.31

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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.