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Finding the Fourth Proportional to 37,673.28, 51,966.24 and 24,926.40

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Solution

The fourth proportional to 37,673.28, 51,966.24 and 24,926.40 is: 34,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,673.28 : 51,966.24 = 24,926.40 : x
  2. Step 2: Convert to fraction form
    37,673.28/51,966.24 = 24,926.40/x
  3. Step 3: Cross multiply
    37,673.28x = 51,966.24 × 24,926.40
  4. Step 4: Simplify right side
    37,673.28x = 1,295,331,284.74
  5. Step 5: Solve for x
    x = 1,295,331,284.74/37,673.28
  6. Step 6: Final answer
    x = 34,383.29

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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.