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Finding the Fourth Proportional to 30,626.10, 45,939.15 and 9,851.70

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Solution

The fourth proportional to 30,626.10, 45,939.15 and 9,851.70 is: 14,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.10 : 45,939.15 = 9,851.70 : x
  2. Step 2: Convert to fraction form
    30,626.10/45,939.15 = 9,851.70/x
  3. Step 3: Cross multiply
    30,626.10x = 45,939.15 × 9,851.70
  4. Step 4: Simplify right side
    30,626.10x = 452,578,724.06
  5. Step 5: Solve for x
    x = 452,578,724.06/30,626.10
  6. Step 6: Final answer
    x = 14,777.55

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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.