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Finding the Fourth Proportional to 96,663.69, 144,989.75 and 30,094.44

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Solution

The fourth proportional to 96,663.69, 144,989.75 and 30,094.44 is: 45,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,663.69 : 144,989.75 = 30,094.44 : x
  2. Step 2: Convert to fraction form
    96,663.69/144,989.75 = 30,094.44/x
  3. Step 3: Cross multiply
    96,663.69x = 144,989.75 × 30,094.44
  4. Step 4: Simplify right side
    96,663.69x = 4,363,385,181.52
  5. Step 5: Solve for x
    x = 4,363,385,181.52/96,663.69
  6. Step 6: Final answer
    x = 45,139.86

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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.