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Finding the Fourth Proportional to 35,807.62, 49,412.16 and 19,892.08

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Solution

The fourth proportional to 35,807.62, 49,412.16 and 19,892.08 is: 27,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.62 : 49,412.16 = 19,892.08 : x
  2. Step 2: Convert to fraction form
    35,807.62/49,412.16 = 19,892.08/x
  3. Step 3: Cross multiply
    35,807.62x = 49,412.16 × 19,892.08
  4. Step 4: Simplify right side
    35,807.62x = 982,910,639.69
  5. Step 5: Solve for x
    x = 982,910,639.69/35,807.62
  6. Step 6: Final answer
    x = 27,449.76

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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.