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Finding the Fourth Proportional to 35,882.40, 53,825.81 and 10,924.30

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Solution

The fourth proportional to 35,882.40, 53,825.81 and 10,924.30 is: 16,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.40 : 53,825.81 = 10,924.30 : x
  2. Step 2: Convert to fraction form
    35,882.40/53,825.81 = 10,924.30/x
  3. Step 3: Cross multiply
    35,882.40x = 53,825.81 × 10,924.30
  4. Step 4: Simplify right side
    35,882.40x = 588,009,308.84
  5. Step 5: Solve for x
    x = 588,009,308.84/35,882.40
  6. Step 6: Final answer
    x = 16,387.12

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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.