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Finding the Fourth Proportional to 70,505.39, 105,767.98 and 20,589.14

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Solution

The fourth proportional to 70,505.39, 105,767.98 and 20,589.14 is: 30,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.39 : 105,767.98 = 20,589.14 : x
  2. Step 2: Convert to fraction form
    70,505.39/105,767.98 = 20,589.14/x
  3. Step 3: Cross multiply
    70,505.39x = 105,767.98 × 20,589.14
  4. Step 4: Simplify right side
    70,505.39x = 2,177,671,365.74
  5. Step 5: Solve for x
    x = 2,177,671,365.74/70,505.39
  6. Step 6: Final answer
    x = 30,886.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.