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Finding the Fourth Proportional to 52,643.52, 72,651.52 and 29,679

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Solution

The fourth proportional to 52,643.52, 72,651.52 and 29,679 is: 40,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.52 : 72,651.52 = 29,679 : x
  2. Step 2: Convert to fraction form
    52,643.52/72,651.52 = 29,679/x
  3. Step 3: Cross multiply
    52,643.52x = 72,651.52 × 29,679
  4. Step 4: Simplify right side
    52,643.52x = 2,156,224,462.08
  5. Step 5: Solve for x
    x = 2,156,224,462.08/52,643.52
  6. Step 6: Final answer
    x = 40,958.97

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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.