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Finding the Fourth Proportional to 55,467.78, 83,083.95 and 51,502.02

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Solution

The fourth proportional to 55,467.78, 83,083.95 and 51,502.02 is: 77,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,467.78 : 83,083.95 = 51,502.02 : x
  2. Step 2: Convert to fraction form
    55,467.78/83,083.95 = 51,502.02/x
  3. Step 3: Cross multiply
    55,467.78x = 83,083.95 × 51,502.02
  4. Step 4: Simplify right side
    55,467.78x = 4,278,991,254.58
  5. Step 5: Solve for x
    x = 4,278,991,254.58/55,467.78
  6. Step 6: Final answer
    x = 77,143.73

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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.