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Finding the Fourth Proportional to 110,082.09, 165,071.09 and 42,645.71

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Solution

The fourth proportional to 110,082.09, 165,071.09 and 42,645.71 is: 63,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,082.09 : 165,071.09 = 42,645.71 : x
  2. Step 2: Convert to fraction form
    110,082.09/165,071.09 = 42,645.71/x
  3. Step 3: Cross multiply
    110,082.09x = 165,071.09 × 42,645.71
  4. Step 4: Simplify right side
    110,082.09x = 7,039,573,833.52
  5. Step 5: Solve for x
    x = 7,039,573,833.52/110,082.09
  6. Step 6: Final answer
    x = 63,948.40

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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.