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Finding the Fourth Proportional to 29,969.76, 44,952.48 and 9,192

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Solution

The fourth proportional to 29,969.76, 44,952.48 and 9,192 is: 13,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.76 : 44,952.48 = 9,192 : x
  2. Step 2: Convert to fraction form
    29,969.76/44,952.48 = 9,192/x
  3. Step 3: Cross multiply
    29,969.76x = 44,952.48 × 9,192
  4. Step 4: Simplify right side
    29,969.76x = 413,203,196.16
  5. Step 5: Solve for x
    x = 413,203,196.16/29,969.76
  6. Step 6: Final answer
    x = 13,787.34

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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.