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Finding the Fourth Proportional to 34,846.70, 52,272.03 and 9,884.79

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Solution

The fourth proportional to 34,846.70, 52,272.03 and 9,884.79 is: 14,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.70 : 52,272.03 = 9,884.79 : x
  2. Step 2: Convert to fraction form
    34,846.70/52,272.03 = 9,884.79/x
  3. Step 3: Cross multiply
    34,846.70x = 52,272.03 × 9,884.79
  4. Step 4: Simplify right side
    34,846.70x = 516,698,272.51
  5. Step 5: Solve for x
    x = 516,698,272.51/34,846.70
  6. Step 6: Final answer
    x = 14,827.75

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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.