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Finding the Fourth Proportional to 103,787.16, 155,702.63 and 33,661

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Solution

The fourth proportional to 103,787.16, 155,702.63 and 33,661 is: 50,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,787.16 : 155,702.63 = 33,661 : x
  2. Step 2: Convert to fraction form
    103,787.16/155,702.63 = 33,661/x
  3. Step 3: Cross multiply
    103,787.16x = 155,702.63 × 33,661
  4. Step 4: Simplify right side
    103,787.16x = 5,241,106,228.43
  5. Step 5: Solve for x
    x = 5,241,106,228.43/103,787.16
  6. Step 6: Final answer
    x = 50,498.60

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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.