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Finding the Fourth Proportional to 30,891.38, 46,337.48 and 10,114.88

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Solution

The fourth proportional to 30,891.38, 46,337.48 and 10,114.88 is: 15,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 46,337.48 = 10,114.88 : x
  2. Step 2: Convert to fraction form
    30,891.38/46,337.48 = 10,114.88/x
  3. Step 3: Cross multiply
    30,891.38x = 46,337.48 × 10,114.88
  4. Step 4: Simplify right side
    30,891.38x = 468,697,767.44
  5. Step 5: Solve for x
    x = 468,697,767.44/30,891.38
  6. Step 6: Final answer
    x = 15,172.45

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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.