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Finding the Fourth Proportional to 55,966.98, 83,950.48 and 38,383.50

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Solution

The fourth proportional to 55,966.98, 83,950.48 and 38,383.50 is: 57,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.98 : 83,950.48 = 38,383.50 : x
  2. Step 2: Convert to fraction form
    55,966.98/83,950.48 = 38,383.50/x
  3. Step 3: Cross multiply
    55,966.98x = 83,950.48 × 38,383.50
  4. Step 4: Simplify right side
    55,966.98x = 3,222,313,249.08
  5. Step 5: Solve for x
    x = 3,222,313,249.08/55,966.98
  6. Step 6: Final answer
    x = 57,575.26

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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.