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Finding the Fourth Proportional to 54,696.84, 75,483.86 and 30,824.52

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Solution

The fourth proportional to 54,696.84, 75,483.86 and 30,824.52 is: 42,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.84 : 75,483.86 = 30,824.52 : x
  2. Step 2: Convert to fraction form
    54,696.84/75,483.86 = 30,824.52/x
  3. Step 3: Cross multiply
    54,696.84x = 75,483.86 × 30,824.52
  4. Step 4: Simplify right side
    54,696.84x = 2,326,753,752.25
  5. Step 5: Solve for x
    x = 2,326,753,752.25/54,696.84
  6. Step 6: Final answer
    x = 42,539.09

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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.