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Finding the Fourth Proportional to 49,158, 73,737.28 and 12,222

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Solution

The fourth proportional to 49,158, 73,737.28 and 12,222 is: 18,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 73,737.28 = 12,222 : x
  2. Step 2: Convert to fraction form
    49,158/73,737.28 = 12,222/x
  3. Step 3: Cross multiply
    49,158x = 73,737.28 × 12,222
  4. Step 4: Simplify right side
    49,158x = 901,217,036.16
  5. Step 5: Solve for x
    x = 901,217,036.16/49,158
  6. Step 6: Final answer
    x = 18,333.07

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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.