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Finding the Fourth Proportional to 106,682.40, 160,031.40 and 36,561.12

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Solution

The fourth proportional to 106,682.40, 160,031.40 and 36,561.12 is: 54,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,682.40 : 160,031.40 = 36,561.12 : x
  2. Step 2: Convert to fraction form
    106,682.40/160,031.40 = 36,561.12/x
  3. Step 3: Cross multiply
    106,682.40x = 160,031.40 × 36,561.12
  4. Step 4: Simplify right side
    106,682.40x = 5,850,927,219.17
  5. Step 5: Solve for x
    x = 5,850,927,219.17/106,682.40
  6. Step 6: Final answer
    x = 54,844.35

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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.