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Finding the Fourth Proportional to 69,025.68, 103,506.12 and 31,575.12

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Solution

The fourth proportional to 69,025.68, 103,506.12 and 31,575.12 is: 47,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,025.68 : 103,506.12 = 31,575.12 : x
  2. Step 2: Convert to fraction form
    69,025.68/103,506.12 = 31,575.12/x
  3. Step 3: Cross multiply
    69,025.68x = 103,506.12 × 31,575.12
  4. Step 4: Simplify right side
    69,025.68x = 3,268,218,159.73
  5. Step 5: Solve for x
    x = 3,268,218,159.73/69,025.68
  6. Step 6: Final answer
    x = 47,347.86

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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.