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Finding the Fourth Proportional to 32,459.38, 44,794.14 and 19,884.12

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Solution

The fourth proportional to 32,459.38, 44,794.14 and 19,884.12 is: 27,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.38 : 44,794.14 = 19,884.12 : x
  2. Step 2: Convert to fraction form
    32,459.38/44,794.14 = 19,884.12/x
  3. Step 3: Cross multiply
    32,459.38x = 44,794.14 × 19,884.12
  4. Step 4: Simplify right side
    32,459.38x = 890,692,055.06
  5. Step 5: Solve for x
    x = 890,692,055.06/32,459.38
  6. Step 6: Final answer
    x = 27,440.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.