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Finding the Fourth Proportional to 64,552.86, 96,829.21 and 22,432.94

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Solution

The fourth proportional to 64,552.86, 96,829.21 and 22,432.94 is: 33,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,552.86 : 96,829.21 = 22,432.94 : x
  2. Step 2: Convert to fraction form
    64,552.86/96,829.21 = 22,432.94/x
  3. Step 3: Cross multiply
    64,552.86x = 96,829.21 × 22,432.94
  4. Step 4: Simplify right side
    64,552.86x = 2,172,163,746.01
  5. Step 5: Solve for x
    x = 2,172,163,746.01/64,552.86
  6. Step 6: Final answer
    x = 33,649.38

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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.