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Finding the Fourth Proportional to 52,312.84, 78,469.92 and 14,872.88

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Solution

The fourth proportional to 52,312.84, 78,469.92 and 14,872.88 is: 22,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312.84 : 78,469.92 = 14,872.88 : x
  2. Step 2: Convert to fraction form
    52,312.84/78,469.92 = 14,872.88/x
  3. Step 3: Cross multiply
    52,312.84x = 78,469.92 × 14,872.88
  4. Step 4: Simplify right side
    52,312.84x = 1,167,073,703.77
  5. Step 5: Solve for x
    x = 1,167,073,703.77/52,312.84
  6. Step 6: Final answer
    x = 22,309.51

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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.