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Finding the Fourth Proportional to 85,649.46, 128,400.36 and 33,095.82

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Solution

The fourth proportional to 85,649.46, 128,400.36 and 33,095.82 is: 49,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,649.46 : 128,400.36 = 33,095.82 : x
  2. Step 2: Convert to fraction form
    85,649.46/128,400.36 = 33,095.82/x
  3. Step 3: Cross multiply
    85,649.46x = 128,400.36 × 33,095.82
  4. Step 4: Simplify right side
    85,649.46x = 4,249,515,202.50
  5. Step 5: Solve for x
    x = 4,249,515,202.50/85,649.46
  6. Step 6: Final answer
    x = 49,615.20

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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.