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Finding the Fourth Proportional to 54,715.98, 75,497.55 and 33,199.83

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Solution

The fourth proportional to 54,715.98, 75,497.55 and 33,199.83 is: 45,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,715.98 : 75,497.55 = 33,199.83 : x
  2. Step 2: Convert to fraction form
    54,715.98/75,497.55 = 33,199.83/x
  3. Step 3: Cross multiply
    54,715.98x = 75,497.55 × 33,199.83
  4. Step 4: Simplify right side
    54,715.98x = 2,506,505,825.42
  5. Step 5: Solve for x
    x = 2,506,505,825.42/54,715.98
  6. Step 6: Final answer
    x = 45,809.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.