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Finding the Fourth Proportional to 30,631.49, 45,937.50 and 9,850.13

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Solution

The fourth proportional to 30,631.49, 45,937.50 and 9,850.13 is: 14,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.49 : 45,937.50 = 9,850.13 : x
  2. Step 2: Convert to fraction form
    30,631.49/45,937.50 = 9,850.13/x
  3. Step 3: Cross multiply
    30,631.49x = 45,937.50 × 9,850.13
  4. Step 4: Simplify right side
    30,631.49x = 452,490,117.19
  5. Step 5: Solve for x
    x = 452,490,117.19/30,631.49
  6. Step 6: Final answer
    x = 14,772.06

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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.