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Finding the Fourth Proportional to 106,056.66, 159,090.84 and 34,976.40

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Solution

The fourth proportional to 106,056.66, 159,090.84 and 34,976.40 is: 52,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.66 : 159,090.84 = 34,976.40 : x
  2. Step 2: Convert to fraction form
    106,056.66/159,090.84 = 34,976.40/x
  3. Step 3: Cross multiply
    106,056.66x = 159,090.84 × 34,976.40
  4. Step 4: Simplify right side
    106,056.66x = 5,564,424,856.18
  5. Step 5: Solve for x
    x = 5,564,424,856.18/106,056.66
  6. Step 6: Final answer
    x = 52,466.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.