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Finding the Fourth Proportional to 38,433.82, 53,030.57 and 23,334.42

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Solution

The fourth proportional to 38,433.82, 53,030.57 and 23,334.42 is: 32,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.82 : 53,030.57 = 23,334.42 : x
  2. Step 2: Convert to fraction form
    38,433.82/53,030.57 = 23,334.42/x
  3. Step 3: Cross multiply
    38,433.82x = 53,030.57 × 23,334.42
  4. Step 4: Simplify right side
    38,433.82x = 1,237,437,593.22
  5. Step 5: Solve for x
    x = 1,237,437,593.22/38,433.82
  6. Step 6: Final answer
    x = 32,196.58

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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.