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Finding the Fourth Proportional to 38,312.64, 52,855.20 and 23,400

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Solution

The fourth proportional to 38,312.64, 52,855.20 and 23,400 is: 32,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312.64 : 52,855.20 = 23,400 : x
  2. Step 2: Convert to fraction form
    38,312.64/52,855.20 = 23,400/x
  3. Step 3: Cross multiply
    38,312.64x = 52,855.20 × 23,400
  4. Step 4: Simplify right side
    38,312.64x = 1,236,811,680
  5. Step 5: Solve for x
    x = 1,236,811,680/38,312.64
  6. Step 6: Final answer
    x = 32,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.