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Finding the Fourth Proportional to 52,612, 78,956.88 and 24,910

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Solution

The fourth proportional to 52,612, 78,956.88 and 24,910 is: 37,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 78,956.88 = 24,910 : x
  2. Step 2: Convert to fraction form
    52,612/78,956.88 = 24,910/x
  3. Step 3: Cross multiply
    52,612x = 78,956.88 × 24,910
  4. Step 4: Simplify right side
    52,612x = 1,966,815,880.80
  5. Step 5: Solve for x
    x = 1,966,815,880.80/52,612
  6. Step 6: Final answer
    x = 37,383.41

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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.