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Finding the Fourth Proportional to 30,002.64, 41,376.74 and 24,983.48

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Solution

The fourth proportional to 30,002.64, 41,376.74 and 24,983.48 is: 34,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.64 : 41,376.74 = 24,983.48 : x
  2. Step 2: Convert to fraction form
    30,002.64/41,376.74 = 24,983.48/x
  3. Step 3: Cross multiply
    30,002.64x = 41,376.74 × 24,983.48
  4. Step 4: Simplify right side
    30,002.64x = 1,033,734,956.26
  5. Step 5: Solve for x
    x = 1,033,734,956.26/30,002.64
  6. Step 6: Final answer
    x = 34,454.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.