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Finding the Fourth Proportional to 24,811.82, 37,178.82 and 21,098.78

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Solution

The fourth proportional to 24,811.82, 37,178.82 and 21,098.78 is: 31,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.82 : 37,178.82 = 21,098.78 : x
  2. Step 2: Convert to fraction form
    24,811.82/37,178.82 = 21,098.78/x
  3. Step 3: Cross multiply
    24,811.82x = 37,178.82 × 21,098.78
  4. Step 4: Simplify right side
    24,811.82x = 784,427,743.84
  5. Step 5: Solve for x
    x = 784,427,743.84/24,811.82
  6. Step 6: Final answer
    x = 31,615.08

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1.5x scale

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.