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Finding the Fourth Proportional to 35,921.80, 49,572.03 and 20,007.64

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Solution

The fourth proportional to 35,921.80, 49,572.03 and 20,007.64 is: 27,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,921.80 : 49,572.03 = 20,007.64 : x
  2. Step 2: Convert to fraction form
    35,921.80/49,572.03 = 20,007.64/x
  3. Step 3: Cross multiply
    35,921.80x = 49,572.03 × 20,007.64
  4. Step 4: Simplify right side
    35,921.80x = 991,819,330.31
  5. Step 5: Solve for x
    x = 991,819,330.31/35,921.80
  6. Step 6: Final answer
    x = 27,610.51

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1.5x scale

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.