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Finding the Fourth Proportional to 34,532.78, 51,794.03 and 9,570.22

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Solution

The fourth proportional to 34,532.78, 51,794.03 and 9,570.22 is: 14,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532.78 : 51,794.03 = 9,570.22 : x
  2. Step 2: Convert to fraction form
    34,532.78/51,794.03 = 9,570.22/x
  3. Step 3: Cross multiply
    34,532.78x = 51,794.03 × 9,570.22
  4. Step 4: Simplify right side
    34,532.78x = 495,680,261.79
  5. Step 5: Solve for x
    x = 495,680,261.79/34,532.78
  6. Step 6: Final answer
    x = 14,353.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.