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Finding the Fourth Proportional to 109,386.56, 164,079.84 and 35,514.56

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Solution

The fourth proportional to 109,386.56, 164,079.84 and 35,514.56 is: 53,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386.56 : 164,079.84 = 35,514.56 : x
  2. Step 2: Convert to fraction form
    109,386.56/164,079.84 = 35,514.56/x
  3. Step 3: Cross multiply
    109,386.56x = 164,079.84 × 35,514.56
  4. Step 4: Simplify right side
    109,386.56x = 5,827,223,865.85
  5. Step 5: Solve for x
    x = 5,827,223,865.85/109,386.56
  6. Step 6: Final answer
    x = 53,271.84

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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.