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Finding the Fourth Proportional to 34,531.65, 51,797.61 and 9,573.66

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Solution

The fourth proportional to 34,531.65, 51,797.61 and 9,573.66 is: 14,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,531.65 : 51,797.61 = 9,573.66 : x
  2. Step 2: Convert to fraction form
    34,531.65/51,797.61 = 9,573.66/x
  3. Step 3: Cross multiply
    34,531.65x = 51,797.61 × 9,573.66
  4. Step 4: Simplify right side
    34,531.65x = 495,892,706.95
  5. Step 5: Solve for x
    x = 495,892,706.95/34,531.65
  6. Step 6: Final answer
    x = 14,360.53

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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.