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Finding the Fourth Proportional to 29,502.78, 44,252.86 and 9,511.82

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Solution

The fourth proportional to 29,502.78, 44,252.86 and 9,511.82 is: 14,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.78 : 44,252.86 = 9,511.82 : x
  2. Step 2: Convert to fraction form
    29,502.78/44,252.86 = 9,511.82/x
  3. Step 3: Cross multiply
    29,502.78x = 44,252.86 × 9,511.82
  4. Step 4: Simplify right side
    29,502.78x = 420,925,238.81
  5. Step 5: Solve for x
    x = 420,925,238.81/29,502.78
  6. Step 6: Final answer
    x = 14,267.31

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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.