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Finding the Fourth Proportional to 35,117.66, 48,462.38 and 19,202.24

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Solution

The fourth proportional to 35,117.66, 48,462.38 and 19,202.24 is: 26,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,117.66 : 48,462.38 = 19,202.24 : x
  2. Step 2: Convert to fraction form
    35,117.66/48,462.38 = 19,202.24/x
  3. Step 3: Cross multiply
    35,117.66x = 48,462.38 × 19,202.24
  4. Step 4: Simplify right side
    35,117.66x = 930,586,251.73
  5. Step 5: Solve for x
    x = 930,586,251.73/35,117.66
  6. Step 6: Final answer
    x = 26,499.10

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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.