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Finding the Fourth Proportional to 57,024, 85,536.30 and 15,471

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Solution

The fourth proportional to 57,024, 85,536.30 and 15,471 is: 23,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 85,536.30 = 15,471 : x
  2. Step 2: Convert to fraction form
    57,024/85,536.30 = 15,471/x
  3. Step 3: Cross multiply
    57,024x = 85,536.30 × 15,471
  4. Step 4: Simplify right side
    57,024x = 1,323,332,155.32
  5. Step 5: Solve for x
    x = 1,323,332,155.32/57,024
  6. Step 6: Final answer
    x = 23,206.58

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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.