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Finding the Fourth Proportional to 78,684.24, 117,886.43 and 45,335.42

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Solution

The fourth proportional to 78,684.24, 117,886.43 and 45,335.42 is: 67,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.24 : 117,886.43 = 45,335.42 : x
  2. Step 2: Convert to fraction form
    78,684.24/117,886.43 = 45,335.42/x
  3. Step 3: Cross multiply
    78,684.24x = 117,886.43 × 45,335.42
  4. Step 4: Simplify right side
    78,684.24x = 5,344,430,000.24
  5. Step 5: Solve for x
    x = 5,344,430,000.24/78,684.24
  6. Step 6: Final answer
    x = 67,922.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.