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Finding the Fourth Proportional to 78,526.73, 117,745.34 and 53,596.96

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Solution

The fourth proportional to 78,526.73, 117,745.34 and 53,596.96 is: 80,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526.73 : 117,745.34 = 53,596.96 : x
  2. Step 2: Convert to fraction form
    78,526.73/117,745.34 = 53,596.96/x
  3. Step 3: Cross multiply
    78,526.73x = 117,745.34 × 53,596.96
  4. Step 4: Simplify right side
    78,526.73x = 6,310,791,715.82
  5. Step 5: Solve for x
    x = 6,310,791,715.82/78,526.73
  6. Step 6: Final answer
    x = 80,364.88

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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.