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Finding the Fourth Proportional to 34,859.43, 52,288.54 and 8,564.40

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Solution

The fourth proportional to 34,859.43, 52,288.54 and 8,564.40 is: 12,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,859.43 : 52,288.54 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    34,859.43/52,288.54 = 8,564.40/x
  3. Step 3: Cross multiply
    34,859.43x = 52,288.54 × 8,564.40
  4. Step 4: Simplify right side
    34,859.43x = 447,819,950.57
  5. Step 5: Solve for x
    x = 447,819,950.57/34,859.43
  6. Step 6: Final answer
    x = 12,846.45

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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.