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Finding the Fourth Proportional to 78,467.76, 108,278.82 and 44,468.46

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Solution

The fourth proportional to 78,467.76, 108,278.82 and 44,468.46 is: 61,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.76 : 108,278.82 = 44,468.46 : x
  2. Step 2: Convert to fraction form
    78,467.76/108,278.82 = 44,468.46/x
  3. Step 3: Cross multiply
    78,467.76x = 108,278.82 × 44,468.46
  4. Step 4: Simplify right side
    78,467.76x = 4,814,992,376.02
  5. Step 5: Solve for x
    x = 4,814,992,376.02/78,467.76
  6. Step 6: Final answer
    x = 61,362.68

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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.