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Finding the Fourth Proportional to 29,922, 44,884.80 and 9,145.68

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Solution

The fourth proportional to 29,922, 44,884.80 and 9,145.68 is: 13,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922 : 44,884.80 = 9,145.68 : x
  2. Step 2: Convert to fraction form
    29,922/44,884.80 = 9,145.68/x
  3. Step 3: Cross multiply
    29,922x = 44,884.80 × 9,145.68
  4. Step 4: Simplify right side
    29,922x = 410,502,017.66
  5. Step 5: Solve for x
    x = 410,502,017.66/29,922
  6. Step 6: Final answer
    x = 13,719.07

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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.