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Finding the Fourth Proportional to 103,052.84, 154,601.38 and 31,974

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Solution

The fourth proportional to 103,052.84, 154,601.38 and 31,974 is: 47,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,052.84 : 154,601.38 = 31,974 : x
  2. Step 2: Convert to fraction form
    103,052.84/154,601.38 = 31,974/x
  3. Step 3: Cross multiply
    103,052.84x = 154,601.38 × 31,974
  4. Step 4: Simplify right side
    103,052.84x = 4,943,224,524.12
  5. Step 5: Solve for x
    x = 4,943,224,524.12/103,052.84
  6. Step 6: Final answer
    x = 47,967.86

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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.