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Finding the Fourth Proportional to 58,524, 80,763.12 and 32,028

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Solution

The fourth proportional to 58,524, 80,763.12 and 32,028 is: 44,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,524 : 80,763.12 = 32,028 : x
  2. Step 2: Convert to fraction form
    58,524/80,763.12 = 32,028/x
  3. Step 3: Cross multiply
    58,524x = 80,763.12 × 32,028
  4. Step 4: Simplify right side
    58,524x = 2,586,681,207.36
  5. Step 5: Solve for x
    x = 2,586,681,207.36/58,524
  6. Step 6: Final answer
    x = 44,198.64

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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.