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Finding the Fourth Proportional to 35,382, 48,825 and 19,468.20

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Solution

The fourth proportional to 35,382, 48,825 and 19,468.20 is: 26,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382 : 48,825 = 19,468.20 : x
  2. Step 2: Convert to fraction form
    35,382/48,825 = 19,468.20/x
  3. Step 3: Cross multiply
    35,382x = 48,825 × 19,468.20
  4. Step 4: Simplify right side
    35,382x = 950,534,865
  5. Step 5: Solve for x
    x = 950,534,865/35,382
  6. Step 6: Final answer
    x = 26,864.93

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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.