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Finding the Fourth Proportional to 32,920.84, 49,390.83 and 11,860.48

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Solution

The fourth proportional to 32,920.84, 49,390.83 and 11,860.48 is: 17,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.84 : 49,390.83 = 11,860.48 : x
  2. Step 2: Convert to fraction form
    32,920.84/49,390.83 = 11,860.48/x
  3. Step 3: Cross multiply
    32,920.84x = 49,390.83 × 11,860.48
  4. Step 4: Simplify right side
    32,920.84x = 585,798,892.10
  5. Step 5: Solve for x
    x = 585,798,892.10/32,920.84
  6. Step 6: Final answer
    x = 17,794.17

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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.