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Finding the Fourth Proportional to 78,099.84, 117,153 and 22,695.84

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Solution

The fourth proportional to 78,099.84, 117,153 and 22,695.84 is: 34,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,099.84 : 117,153 = 22,695.84 : x
  2. Step 2: Convert to fraction form
    78,099.84/117,153 = 22,695.84/x
  3. Step 3: Cross multiply
    78,099.84x = 117,153 × 22,695.84
  4. Step 4: Simplify right side
    78,099.84x = 2,658,885,743.52
  5. Step 5: Solve for x
    x = 2,658,885,743.52/78,099.84
  6. Step 6: Final answer
    x = 34,044.70

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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.