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Finding the Fourth Proportional to 57,210, 85,815.12 and 24,378

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Solution

The fourth proportional to 57,210, 85,815.12 and 24,378 is: 36,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,210 : 85,815.12 = 24,378 : x
  2. Step 2: Convert to fraction form
    57,210/85,815.12 = 24,378/x
  3. Step 3: Cross multiply
    57,210x = 85,815.12 × 24,378
  4. Step 4: Simplify right side
    57,210x = 2,092,000,995.36
  5. Step 5: Solve for x
    x = 2,092,000,995.36/57,210
  6. Step 6: Final answer
    x = 36,567.05

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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.