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Finding the Fourth Proportional to 29,768.64, 44,654.40 and 17,448

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Solution

The fourth proportional to 29,768.64, 44,654.40 and 17,448 is: 26,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.64 : 44,654.40 = 17,448 : x
  2. Step 2: Convert to fraction form
    29,768.64/44,654.40 = 17,448/x
  3. Step 3: Cross multiply
    29,768.64x = 44,654.40 × 17,448
  4. Step 4: Simplify right side
    29,768.64x = 779,129,971.20
  5. Step 5: Solve for x
    x = 779,129,971.20/29,768.64
  6. Step 6: Final answer
    x = 26,172.84

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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.