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Finding the Fourth Proportional to 31,759.95, 47,624.52 and 9,569.19

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Solution

The fourth proportional to 31,759.95, 47,624.52 and 9,569.19 is: 14,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.95 : 47,624.52 = 9,569.19 : x
  2. Step 2: Convert to fraction form
    31,759.95/47,624.52 = 9,569.19/x
  3. Step 3: Cross multiply
    31,759.95x = 47,624.52 × 9,569.19
  4. Step 4: Simplify right side
    31,759.95x = 455,728,080.54
  5. Step 5: Solve for x
    x = 455,728,080.54/31,759.95
  6. Step 6: Final answer
    x = 14,349.14

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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.