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Finding the Fourth Proportional to 52,616.94, 78,913.80 and 15,168.78

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Solution

The fourth proportional to 52,616.94, 78,913.80 and 15,168.78 is: 22,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616.94 : 78,913.80 = 15,168.78 : x
  2. Step 2: Convert to fraction form
    52,616.94/78,913.80 = 15,168.78/x
  3. Step 3: Cross multiply
    52,616.94x = 78,913.80 × 15,168.78
  4. Step 4: Simplify right side
    52,616.94x = 1,197,026,071.16
  5. Step 5: Solve for x
    x = 1,197,026,071.16/52,616.94
  6. Step 6: Final answer
    x = 22,749.82

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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.