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Finding the Fourth Proportional to 102,986.66, 154,482.69 and 32,865.91

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Solution

The fourth proportional to 102,986.66, 154,482.69 and 32,865.91 is: 49,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.66 : 154,482.69 = 32,865.91 : x
  2. Step 2: Convert to fraction form
    102,986.66/154,482.69 = 32,865.91/x
  3. Step 3: Cross multiply
    102,986.66x = 154,482.69 × 32,865.91
  4. Step 4: Simplify right side
    102,986.66x = 5,077,214,186.10
  5. Step 5: Solve for x
    x = 5,077,214,186.10/102,986.66
  6. Step 6: Final answer
    x = 49,299.73

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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.