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Finding the Fourth Proportional to 32,799, 49,206.82 and 9,425.46

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Solution

The fourth proportional to 32,799, 49,206.82 and 9,425.46 is: 14,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,799 : 49,206.82 = 9,425.46 : x
  2. Step 2: Convert to fraction form
    32,799/49,206.82 = 9,425.46/x
  3. Step 3: Cross multiply
    32,799x = 49,206.82 × 9,425.46
  4. Step 4: Simplify right side
    32,799x = 463,796,913.64
  5. Step 5: Solve for x
    x = 463,796,913.64/32,799
  6. Step 6: Final answer
    x = 14,140.58

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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.