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Finding the Fourth Proportional to 106,282.48, 159,314.37 and 47,146

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Solution

The fourth proportional to 106,282.48, 159,314.37 and 47,146 is: 70,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,282.48 : 159,314.37 = 47,146 : x
  2. Step 2: Convert to fraction form
    106,282.48/159,314.37 = 47,146/x
  3. Step 3: Cross multiply
    106,282.48x = 159,314.37 × 47,146
  4. Step 4: Simplify right side
    106,282.48x = 7,511,035,288.02
  5. Step 5: Solve for x
    x = 7,511,035,288.02/106,282.48
  6. Step 6: Final answer
    x = 70,670.49

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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.