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Finding the Fourth Proportional to 106,956.82, 160,445.22 and 28,071.46

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Solution

The fourth proportional to 106,956.82, 160,445.22 and 28,071.46 is: 42,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956.82 : 160,445.22 = 28,071.46 : x
  2. Step 2: Convert to fraction form
    106,956.82/160,445.22 = 28,071.46/x
  3. Step 3: Cross multiply
    106,956.82x = 160,445.22 × 28,071.46
  4. Step 4: Simplify right side
    106,956.82x = 4,503,931,575.42
  5. Step 5: Solve for x
    x = 4,503,931,575.42/106,956.82
  6. Step 6: Final answer
    x = 42,109.81

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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.