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Finding the Fourth Proportional to 64,829.86, 97,205.91 and 29,725.54

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Solution

The fourth proportional to 64,829.86, 97,205.91 and 29,725.54 is: 44,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,829.86 : 97,205.91 = 29,725.54 : x
  2. Step 2: Convert to fraction form
    64,829.86/97,205.91 = 29,725.54/x
  3. Step 3: Cross multiply
    64,829.86x = 97,205.91 × 29,725.54
  4. Step 4: Simplify right side
    64,829.86x = 2,889,498,165.94
  5. Step 5: Solve for x
    x = 2,889,498,165.94/64,829.86
  6. Step 6: Final answer
    x = 44,570.48

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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.