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Finding the Fourth Proportional to 70,524.54, 105,785.19 and 17,934.08

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Solution

The fourth proportional to 70,524.54, 105,785.19 and 17,934.08 is: 26,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524.54 : 105,785.19 = 17,934.08 : x
  2. Step 2: Convert to fraction form
    70,524.54/105,785.19 = 17,934.08/x
  3. Step 3: Cross multiply
    70,524.54x = 105,785.19 × 17,934.08
  4. Step 4: Simplify right side
    70,524.54x = 1,897,159,531.35
  5. Step 5: Solve for x
    x = 1,897,159,531.35/70,524.54
  6. Step 6: Final answer
    x = 26,900.70

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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.