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Finding the Fourth Proportional to 54,684, 75,496.73 and 35,853.93

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Solution

The fourth proportional to 54,684, 75,496.73 and 35,853.93 is: 49,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 75,496.73 = 35,853.93 : x
  2. Step 2: Convert to fraction form
    54,684/75,496.73 = 35,853.93/x
  3. Step 3: Cross multiply
    54,684x = 75,496.73 × 35,853.93
  4. Step 4: Simplify right side
    54,684x = 2,706,854,293.38
  5. Step 5: Solve for x
    x = 2,706,854,293.38/54,684
  6. Step 6: Final answer
    x = 49,499.93

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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.