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Finding the Fourth Proportional to 109,565.03, 164,348.03 and 34,685.54

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Solution

The fourth proportional to 109,565.03, 164,348.03 and 34,685.54 is: 52,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,565.03 : 164,348.03 = 34,685.54 : x
  2. Step 2: Convert to fraction form
    109,565.03/164,348.03 = 34,685.54/x
  3. Step 3: Cross multiply
    109,565.03x = 164,348.03 × 34,685.54
  4. Step 4: Simplify right side
    109,565.03x = 5,700,500,405.93
  5. Step 5: Solve for x
    x = 5,700,500,405.93/109,565.03
  6. Step 6: Final answer
    x = 52,028.47

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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.