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Finding the Fourth Proportional to 77,712.38, 107,247.02 and 45,880.59

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Solution

The fourth proportional to 77,712.38, 107,247.02 and 45,880.59 is: 63,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.38 : 107,247.02 = 45,880.59 : x
  2. Step 2: Convert to fraction form
    77,712.38/107,247.02 = 45,880.59/x
  3. Step 3: Cross multiply
    77,712.38x = 107,247.02 × 45,880.59
  4. Step 4: Simplify right side
    77,712.38x = 4,920,556,323.94
  5. Step 5: Solve for x
    x = 4,920,556,323.94/77,712.38
  6. Step 6: Final answer
    x = 63,317.54

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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.