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Finding the Fourth Proportional to 105,052.52, 157,644.38 and 42,723

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Solution

The fourth proportional to 105,052.52, 157,644.38 and 42,723 is: 64,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.52 : 157,644.38 = 42,723 : x
  2. Step 2: Convert to fraction form
    105,052.52/157,644.38 = 42,723/x
  3. Step 3: Cross multiply
    105,052.52x = 157,644.38 × 42,723
  4. Step 4: Simplify right side
    105,052.52x = 6,735,040,846.74
  5. Step 5: Solve for x
    x = 6,735,040,846.74/105,052.52
  6. Step 6: Final answer
    x = 64,111.18

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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.