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Finding the Fourth Proportional to 106,056.50, 158,947.16 and 49,108.84

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Solution

The fourth proportional to 106,056.50, 158,947.16 and 49,108.84 is: 73,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.50 : 158,947.16 = 49,108.84 : x
  2. Step 2: Convert to fraction form
    106,056.50/158,947.16 = 49,108.84/x
  3. Step 3: Cross multiply
    106,056.50x = 158,947.16 × 49,108.84
  4. Step 4: Simplify right side
    106,056.50x = 7,805,710,648.89
  5. Step 5: Solve for x
    x = 7,805,710,648.89/106,056.50
  6. Step 6: Final answer
    x = 73,599.55

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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.