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Finding the Fourth Proportional to 35,218.68, 52,827.58 and 8,564.82

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Solution

The fourth proportional to 35,218.68, 52,827.58 and 8,564.82 is: 12,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.68 : 52,827.58 = 8,564.82 : x
  2. Step 2: Convert to fraction form
    35,218.68/52,827.58 = 8,564.82/x
  3. Step 3: Cross multiply
    35,218.68x = 52,827.58 × 8,564.82
  4. Step 4: Simplify right side
    35,218.68x = 452,458,713.74
  5. Step 5: Solve for x
    x = 452,458,713.74/35,218.68
  6. Step 6: Final answer
    x = 12,847.12

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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.