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Finding the Fourth Proportional to 103,003.20, 154,475.04 and 46,812

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Solution

The fourth proportional to 103,003.20, 154,475.04 and 46,812 is: 70,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,003.20 : 154,475.04 = 46,812 : x
  2. Step 2: Convert to fraction form
    103,003.20/154,475.04 = 46,812/x
  3. Step 3: Cross multiply
    103,003.20x = 154,475.04 × 46,812
  4. Step 4: Simplify right side
    103,003.20x = 7,231,285,572.48
  5. Step 5: Solve for x
    x = 7,231,285,572.48/103,003.20
  6. Step 6: Final answer
    x = 70,204.47

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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.