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Finding the Fourth Proportional to 37,263.12, 51,423 and 20,496

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Solution

The fourth proportional to 37,263.12, 51,423 and 20,496 is: 28,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,263.12 : 51,423 = 20,496 : x
  2. Step 2: Convert to fraction form
    37,263.12/51,423 = 20,496/x
  3. Step 3: Cross multiply
    37,263.12x = 51,423 × 20,496
  4. Step 4: Simplify right side
    37,263.12x = 1,053,965,808
  5. Step 5: Solve for x
    x = 1,053,965,808/37,263.12
  6. Step 6: Final answer
    x = 28,284.42

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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.