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Finding the Fourth Proportional to 35,422, 53,140.02 and 10,462.48

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Solution

The fourth proportional to 35,422, 53,140.02 and 10,462.48 is: 15,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422 : 53,140.02 = 10,462.48 : x
  2. Step 2: Convert to fraction form
    35,422/53,140.02 = 10,462.48/x
  3. Step 3: Cross multiply
    35,422x = 53,140.02 × 10,462.48
  4. Step 4: Simplify right side
    35,422x = 555,976,396.45
  5. Step 5: Solve for x
    x = 555,976,396.45/35,422
  6. Step 6: Final answer
    x = 15,695.79

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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.