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Finding the Fourth Proportional to 106,878.82, 160,340.10 and 36,749.02

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Solution

The fourth proportional to 106,878.82, 160,340.10 and 36,749.02 is: 55,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,878.82 : 160,340.10 = 36,749.02 : x
  2. Step 2: Convert to fraction form
    106,878.82/160,340.10 = 36,749.02/x
  3. Step 3: Cross multiply
    106,878.82x = 160,340.10 × 36,749.02
  4. Step 4: Simplify right side
    106,878.82x = 5,892,341,541.70
  5. Step 5: Solve for x
    x = 5,892,341,541.70/106,878.82
  6. Step 6: Final answer
    x = 55,131.05

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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.