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Finding the Fourth Proportional to 84,594.86, 126,893.73 and 32,029.10

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Solution

The fourth proportional to 84,594.86, 126,893.73 and 32,029.10 is: 48,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,594.86 : 126,893.73 = 32,029.10 : x
  2. Step 2: Convert to fraction form
    84,594.86/126,893.73 = 32,029.10/x
  3. Step 3: Cross multiply
    84,594.86x = 126,893.73 × 32,029.10
  4. Step 4: Simplify right side
    84,594.86x = 4,064,291,967.54
  5. Step 5: Solve for x
    x = 4,064,291,967.54/84,594.86
  6. Step 6: Final answer
    x = 48,044.20

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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.