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Finding the Fourth Proportional to 115,700.04, 173,515.50 and 40,806

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Solution

The fourth proportional to 115,700.04, 173,515.50 and 40,806 is: 61,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,700.04 : 173,515.50 = 40,806 : x
  2. Step 2: Convert to fraction form
    115,700.04/173,515.50 = 40,806/x
  3. Step 3: Cross multiply
    115,700.04x = 173,515.50 × 40,806
  4. Step 4: Simplify right side
    115,700.04x = 7,080,473,493
  5. Step 5: Solve for x
    x = 7,080,473,493/115,700.04
  6. Step 6: Final answer
    x = 61,196.81

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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.