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Finding the Fourth Proportional to 35,006.50, 52,509.67 and 8,711.25

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Solution

The fourth proportional to 35,006.50, 52,509.67 and 8,711.25 is: 13,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006.50 : 52,509.67 = 8,711.25 : x
  2. Step 2: Convert to fraction form
    35,006.50/52,509.67 = 8,711.25/x
  3. Step 3: Cross multiply
    35,006.50x = 52,509.67 × 8,711.25
  4. Step 4: Simplify right side
    35,006.50x = 457,424,644.10
  5. Step 5: Solve for x
    x = 457,424,644.10/35,006.50
  6. Step 6: Final answer
    x = 13,066.85

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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.