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Finding the Fourth Proportional to 55,934, 83,912.52 and 23,102

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Solution

The fourth proportional to 55,934, 83,912.52 and 23,102 is: 34,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934 : 83,912.52 = 23,102 : x
  2. Step 2: Convert to fraction form
    55,934/83,912.52 = 23,102/x
  3. Step 3: Cross multiply
    55,934x = 83,912.52 × 23,102
  4. Step 4: Simplify right side
    55,934x = 1,938,547,037.04
  5. Step 5: Solve for x
    x = 1,938,547,037.04/55,934
  6. Step 6: Final answer
    x = 34,657.76

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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.