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Finding the Fourth Proportional to 75,643.52, 113,442.24 and 26,384

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Solution

The fourth proportional to 75,643.52, 113,442.24 and 26,384 is: 39,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.52 : 113,442.24 = 26,384 : x
  2. Step 2: Convert to fraction form
    75,643.52/113,442.24 = 26,384/x
  3. Step 3: Cross multiply
    75,643.52x = 113,442.24 × 26,384
  4. Step 4: Simplify right side
    75,643.52x = 2,993,060,060.16
  5. Step 5: Solve for x
    x = 2,993,060,060.16/75,643.52
  6. Step 6: Final answer
    x = 39,567.96

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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.