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Finding the Fourth Proportional to 54,823.54, 75,657.95 and 33,305.96

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Solution

The fourth proportional to 54,823.54, 75,657.95 and 33,305.96 is: 45,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.54 : 75,657.95 = 33,305.96 : x
  2. Step 2: Convert to fraction form
    54,823.54/75,657.95 = 33,305.96/x
  3. Step 3: Cross multiply
    54,823.54x = 75,657.95 × 33,305.96
  4. Step 4: Simplify right side
    54,823.54x = 2,519,860,656.38
  5. Step 5: Solve for x
    x = 2,519,860,656.38/54,823.54
  6. Step 6: Final answer
    x = 45,963.11

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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.