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Finding the Fourth Proportional to 45,753.84, 63,143.12 and 26,634

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Solution

The fourth proportional to 45,753.84, 63,143.12 and 26,634 is: 36,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,753.84 : 63,143.12 = 26,634 : x
  2. Step 2: Convert to fraction form
    45,753.84/63,143.12 = 26,634/x
  3. Step 3: Cross multiply
    45,753.84x = 63,143.12 × 26,634
  4. Step 4: Simplify right side
    45,753.84x = 1,681,753,858.08
  5. Step 5: Solve for x
    x = 1,681,753,858.08/45,753.84
  6. Step 6: Final answer
    x = 36,756.56

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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.