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Finding the Fourth Proportional to 78,274.73, 108,019.14 and 44,282.50

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Solution

The fourth proportional to 78,274.73, 108,019.14 and 44,282.50 is: 61,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,274.73 : 108,019.14 = 44,282.50 : x
  2. Step 2: Convert to fraction form
    78,274.73/108,019.14 = 44,282.50/x
  3. Step 3: Cross multiply
    78,274.73x = 108,019.14 × 44,282.50
  4. Step 4: Simplify right side
    78,274.73x = 4,783,357,567.05
  5. Step 5: Solve for x
    x = 4,783,357,567.05/78,274.73
  6. Step 6: Final answer
    x = 61,109.86

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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.