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Finding the Fourth Proportional to 53,057.84, 79,542 and 23,049.36

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Solution

The fourth proportional to 53,057.84, 79,542 and 23,049.36 is: 34,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057.84 : 79,542 = 23,049.36 : x
  2. Step 2: Convert to fraction form
    53,057.84/79,542 = 23,049.36/x
  3. Step 3: Cross multiply
    53,057.84x = 79,542 × 23,049.36
  4. Step 4: Simplify right side
    53,057.84x = 1,833,392,193.12
  5. Step 5: Solve for x
    x = 1,833,392,193.12/53,057.84
  6. Step 6: Final answer
    x = 34,554.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.