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Finding the Fourth Proportional to 34,485.64, 51,719.02 and 9,519.72

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Solution

The fourth proportional to 34,485.64, 51,719.02 and 9,519.72 is: 14,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,485.64 : 51,719.02 = 9,519.72 : x
  2. Step 2: Convert to fraction form
    34,485.64/51,719.02 = 9,519.72/x
  3. Step 3: Cross multiply
    34,485.64x = 51,719.02 × 9,519.72
  4. Step 4: Simplify right side
    34,485.64x = 492,350,589.07
  5. Step 5: Solve for x
    x = 492,350,589.07/34,485.64
  6. Step 6: Final answer
    x = 14,276.97

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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.