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Finding the Fourth Proportional to 55,332, 83,000.16 and 22,068

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Solution

The fourth proportional to 55,332, 83,000.16 and 22,068 is: 33,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,332 : 83,000.16 = 22,068 : x
  2. Step 2: Convert to fraction form
    55,332/83,000.16 = 22,068/x
  3. Step 3: Cross multiply
    55,332x = 83,000.16 × 22,068
  4. Step 4: Simplify right side
    55,332x = 1,831,647,530.88
  5. Step 5: Solve for x
    x = 1,831,647,530.88/55,332
  6. Step 6: Final answer
    x = 33,102.86

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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.