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Finding the Fourth Proportional to 53,503.38, 73,810.17 and 34,646.58

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Solution

The fourth proportional to 53,503.38, 73,810.17 and 34,646.58 is: 47,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,503.38 : 73,810.17 = 34,646.58 : x
  2. Step 2: Convert to fraction form
    53,503.38/73,810.17 = 34,646.58/x
  3. Step 3: Cross multiply
    53,503.38x = 73,810.17 × 34,646.58
  4. Step 4: Simplify right side
    53,503.38x = 2,557,269,959.72
  5. Step 5: Solve for x
    x = 2,557,269,959.72/53,503.38
  6. Step 6: Final answer
    x = 47,796.42

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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.