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Finding the Fourth Proportional to 78,114.26, 107,787.75 and 44,124.63

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Solution

The fourth proportional to 78,114.26, 107,787.75 and 44,124.63 is: 60,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.26 : 107,787.75 = 44,124.63 : x
  2. Step 2: Convert to fraction form
    78,114.26/107,787.75 = 44,124.63/x
  3. Step 3: Cross multiply
    78,114.26x = 107,787.75 × 44,124.63
  4. Step 4: Simplify right side
    78,114.26x = 4,756,094,587.28
  5. Step 5: Solve for x
    x = 4,756,094,587.28/78,114.26
  6. Step 6: Final answer
    x = 60,886.38

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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.