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Finding the Fourth Proportional to 34,859.54, 52,288.85 and 8,564.51

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Solution

The fourth proportional to 34,859.54, 52,288.85 and 8,564.51 is: 12,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,859.54 : 52,288.85 = 8,564.51 : x
  2. Step 2: Convert to fraction form
    34,859.54/52,288.85 = 8,564.51/x
  3. Step 3: Cross multiply
    34,859.54x = 52,288.85 × 8,564.51
  4. Step 4: Simplify right side
    34,859.54x = 447,828,395.83
  5. Step 5: Solve for x
    x = 447,828,395.83/34,859.54
  6. Step 6: Final answer
    x = 12,846.65

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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.