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Finding the Fourth Proportional to 105,427.48, 158,160.42 and 50,023

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Solution

The fourth proportional to 105,427.48, 158,160.42 and 50,023 is: 75,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,427.48 : 158,160.42 = 50,023 : x
  2. Step 2: Convert to fraction form
    105,427.48/158,160.42 = 50,023/x
  3. Step 3: Cross multiply
    105,427.48x = 158,160.42 × 50,023
  4. Step 4: Simplify right side
    105,427.48x = 7,911,658,689.66
  5. Step 5: Solve for x
    x = 7,911,658,689.66/105,427.48
  6. Step 6: Final answer
    x = 75,043.61

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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.