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Finding the Fourth Proportional to 50,787.32, 70,094.76 and 30,368

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Solution

The fourth proportional to 50,787.32, 70,094.76 and 30,368 is: 41,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,787.32 : 70,094.76 = 30,368 : x
  2. Step 2: Convert to fraction form
    50,787.32/70,094.76 = 30,368/x
  3. Step 3: Cross multiply
    50,787.32x = 70,094.76 × 30,368
  4. Step 4: Simplify right side
    50,787.32x = 2,128,637,671.68
  5. Step 5: Solve for x
    x = 2,128,637,671.68/50,787.32
  6. Step 6: Final answer
    x = 41,912.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.