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Finding the Fourth Proportional to 53,645.42, 74,027.24 and 33,501.11

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Solution

The fourth proportional to 53,645.42, 74,027.24 and 33,501.11 is: 46,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645.42 : 74,027.24 = 33,501.11 : x
  2. Step 2: Convert to fraction form
    53,645.42/74,027.24 = 33,501.11/x
  3. Step 3: Cross multiply
    53,645.42x = 74,027.24 × 33,501.11
  4. Step 4: Simplify right side
    53,645.42x = 2,479,994,172.59
  5. Step 5: Solve for x
    x = 2,479,994,172.59/53,645.42
  6. Step 6: Final answer
    x = 46,229.38

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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.