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Finding the Fourth Proportional to 75,806.84, 113,710.52 and 23,216.08

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Solution

The fourth proportional to 75,806.84, 113,710.52 and 23,216.08 is: 34,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806.84 : 113,710.52 = 23,216.08 : x
  2. Step 2: Convert to fraction form
    75,806.84/113,710.52 = 23,216.08/x
  3. Step 3: Cross multiply
    75,806.84x = 113,710.52 × 23,216.08
  4. Step 4: Simplify right side
    75,806.84x = 2,639,912,529.16
  5. Step 5: Solve for x
    x = 2,639,912,529.16/75,806.84
  6. Step 6: Final answer
    x = 34,824.20

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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.