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Finding the Fourth Proportional to 30,947.19, 46,416.33 and 9,889.62

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Solution

The fourth proportional to 30,947.19, 46,416.33 and 9,889.62 is: 14,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.19 : 46,416.33 = 9,889.62 : x
  2. Step 2: Convert to fraction form
    30,947.19/46,416.33 = 9,889.62/x
  3. Step 3: Cross multiply
    30,947.19x = 46,416.33 × 9,889.62
  4. Step 4: Simplify right side
    30,947.19x = 459,039,865.49
  5. Step 5: Solve for x
    x = 459,039,865.49/30,947.19
  6. Step 6: Final answer
    x = 14,833.01

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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.