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Finding the Fourth Proportional to 96,481.64, 144,736.45 and 29,927.11

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Solution

The fourth proportional to 96,481.64, 144,736.45 and 29,927.11 is: 44,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,481.64 : 144,736.45 = 29,927.11 : x
  2. Step 2: Convert to fraction form
    96,481.64/144,736.45 = 29,927.11/x
  3. Step 3: Cross multiply
    96,481.64x = 144,736.45 × 29,927.11
  4. Step 4: Simplify right side
    96,481.64x = 4,331,543,223.50
  5. Step 5: Solve for x
    x = 4,331,543,223.50/96,481.64
  6. Step 6: Final answer
    x = 44,895.00

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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.