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Finding the Fourth Proportional to 78,023.09, 107,671.82 and 44,038.70

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Solution

The fourth proportional to 78,023.09, 107,671.82 and 44,038.70 is: 60,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.09 : 107,671.82 = 44,038.70 : x
  2. Step 2: Convert to fraction form
    78,023.09/107,671.82 = 44,038.70/x
  3. Step 3: Cross multiply
    78,023.09x = 107,671.82 × 44,038.70
  4. Step 4: Simplify right side
    78,023.09x = 4,741,727,478.02
  5. Step 5: Solve for x
    x = 4,741,727,478.02/78,023.09
  6. Step 6: Final answer
    x = 60,773.39

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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.