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Finding the Fourth Proportional to 106,652.95, 160,005.75 and 31,772.81

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Solution

The fourth proportional to 106,652.95, 160,005.75 and 31,772.81 is: 47,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,652.95 : 160,005.75 = 31,772.81 : x
  2. Step 2: Convert to fraction form
    106,652.95/160,005.75 = 31,772.81/x
  3. Step 3: Cross multiply
    106,652.95x = 160,005.75 × 31,772.81
  4. Step 4: Simplify right side
    106,652.95x = 5,083,831,942.57
  5. Step 5: Solve for x
    x = 5,083,831,942.57/106,652.95
  6. Step 6: Final answer
    x = 47,667.05

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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.