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Finding the Fourth Proportional to 52,597.80, 78,872.40 and 23,000.40

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Solution

The fourth proportional to 52,597.80, 78,872.40 and 23,000.40 is: 34,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.80 : 78,872.40 = 23,000.40 : x
  2. Step 2: Convert to fraction form
    52,597.80/78,872.40 = 23,000.40/x
  3. Step 3: Cross multiply
    52,597.80x = 78,872.40 × 23,000.40
  4. Step 4: Simplify right side
    52,597.80x = 1,814,096,748.96
  5. Step 5: Solve for x
    x = 1,814,096,748.96/52,597.80
  6. Step 6: Final answer
    x = 34,489.97

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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.