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Finding the Fourth Proportional to 73,584.78, 110,366.80 and 23,658.53

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Solution

The fourth proportional to 73,584.78, 110,366.80 and 23,658.53 is: 35,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584.78 : 110,366.80 = 23,658.53 : x
  2. Step 2: Convert to fraction form
    73,584.78/110,366.80 = 23,658.53/x
  3. Step 3: Cross multiply
    73,584.78x = 110,366.80 × 23,658.53
  4. Step 4: Simplify right side
    73,584.78x = 2,611,116,248.80
  5. Step 5: Solve for x
    x = 2,611,116,248.80/73,584.78
  6. Step 6: Final answer
    x = 35,484.46

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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.