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Finding the Fourth Proportional to 110,492.16, 165,718.08 and 35,614.08

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Solution

The fourth proportional to 110,492.16, 165,718.08 and 35,614.08 is: 53,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,492.16 : 165,718.08 = 35,614.08 : x
  2. Step 2: Convert to fraction form
    110,492.16/165,718.08 = 35,614.08/x
  3. Step 3: Cross multiply
    110,492.16x = 165,718.08 × 35,614.08
  4. Step 4: Simplify right side
    110,492.16x = 5,901,896,958.57
  5. Step 5: Solve for x
    x = 5,901,896,958.57/110,492.16
  6. Step 6: Final answer
    x = 53,414.62

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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.