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Finding the Fourth Proportional to 30,783.75, 46,178.24 and 9,718.15

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Solution

The fourth proportional to 30,783.75, 46,178.24 and 9,718.15 is: 14,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.75 : 46,178.24 = 9,718.15 : x
  2. Step 2: Convert to fraction form
    30,783.75/46,178.24 = 9,718.15/x
  3. Step 3: Cross multiply
    30,783.75x = 46,178.24 × 9,718.15
  4. Step 4: Simplify right side
    30,783.75x = 448,767,063.06
  5. Step 5: Solve for x
    x = 448,767,063.06/30,783.75
  6. Step 6: Final answer
    x = 14,578.05

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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.