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Finding the Fourth Proportional to 35,880.64, 49,512 and 26,454.40

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Solution

The fourth proportional to 35,880.64, 49,512 and 26,454.40 is: 36,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.64 : 49,512 = 26,454.40 : x
  2. Step 2: Convert to fraction form
    35,880.64/49,512 = 26,454.40/x
  3. Step 3: Cross multiply
    35,880.64x = 49,512 × 26,454.40
  4. Step 4: Simplify right side
    35,880.64x = 1,309,810,252.80
  5. Step 5: Solve for x
    x = 1,309,810,252.80/35,880.64
  6. Step 6: Final answer
    x = 36,504.65

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Why These Related Problems?

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