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Finding the Fourth Proportional to 35,218.48, 52,827.78 and 8,923.20

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Solution

The fourth proportional to 35,218.48, 52,827.78 and 8,923.20 is: 13,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.48 : 52,827.78 = 8,923.20 : x
  2. Step 2: Convert to fraction form
    35,218.48/52,827.78 = 8,923.20/x
  3. Step 3: Cross multiply
    35,218.48x = 52,827.78 × 8,923.20
  4. Step 4: Simplify right side
    35,218.48x = 471,392,846.50
  5. Step 5: Solve for x
    x = 471,392,846.50/35,218.48
  6. Step 6: Final answer
    x = 13,384.82

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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.