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Finding the Fourth Proportional to 29,801.44, 44,707.92 and 11,332

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Solution

The fourth proportional to 29,801.44, 44,707.92 and 11,332 is: 17,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.44 : 44,707.92 = 11,332 : x
  2. Step 2: Convert to fraction form
    29,801.44/44,707.92 = 11,332/x
  3. Step 3: Cross multiply
    29,801.44x = 44,707.92 × 11,332
  4. Step 4: Simplify right side
    29,801.44x = 506,630,149.44
  5. Step 5: Solve for x
    x = 506,630,149.44/29,801.44
  6. Step 6: Final answer
    x = 17,000.19

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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.