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Finding the Fourth Proportional to 47,504, 65,549.84 and 26,280.38

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Solution

The fourth proportional to 47,504, 65,549.84 and 26,280.38 is: 36,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 65,549.84 = 26,280.38 : x
  2. Step 2: Convert to fraction form
    47,504/65,549.84 = 26,280.38/x
  3. Step 3: Cross multiply
    47,504x = 65,549.84 × 26,280.38
  4. Step 4: Simplify right side
    47,504x = 1,722,674,704.14
  5. Step 5: Solve for x
    x = 1,722,674,704.14/47,504
  6. Step 6: Final answer
    x = 36,263.78

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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.