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Finding the Fourth Proportional to 59,512, 89,280.96 and 22,576

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Solution

The fourth proportional to 59,512, 89,280.96 and 22,576 is: 33,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 89,280.96 = 22,576 : x
  2. Step 2: Convert to fraction form
    59,512/89,280.96 = 22,576/x
  3. Step 3: Cross multiply
    59,512x = 89,280.96 × 22,576
  4. Step 4: Simplify right side
    59,512x = 2,015,606,952.96
  5. Step 5: Solve for x
    x = 2,015,606,952.96/59,512
  6. Step 6: Final answer
    x = 33,868.92

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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.