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Finding the Fourth Proportional to 78,068.54, 107,734.92 and 44,078.52

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Solution

The fourth proportional to 78,068.54, 107,734.92 and 44,078.52 is: 60,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.54 : 107,734.92 = 44,078.52 : x
  2. Step 2: Convert to fraction form
    78,068.54/107,734.92 = 44,078.52/x
  3. Step 3: Cross multiply
    78,068.54x = 107,734.92 × 44,078.52
  4. Step 4: Simplify right side
    78,068.54x = 4,748,795,825.92
  5. Step 5: Solve for x
    x = 4,748,795,825.92/78,068.54
  6. Step 6: Final answer
    x = 60,828.55

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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.