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Finding the Fourth Proportional to 34,528, 51,793.11 and 9,568.29

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Solution

The fourth proportional to 34,528, 51,793.11 and 9,568.29 is: 14,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,528 : 51,793.11 = 9,568.29 : x
  2. Step 2: Convert to fraction form
    34,528/51,793.11 = 9,568.29/x
  3. Step 3: Cross multiply
    34,528x = 51,793.11 × 9,568.29
  4. Step 4: Simplify right side
    34,528x = 495,571,496.48
  5. Step 5: Solve for x
    x = 495,571,496.48/34,528
  6. Step 6: Final answer
    x = 14,352.74

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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.