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Finding the Fourth Proportional to 48,484.86, 72,760.77 and 31,852.86

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Solution

The fourth proportional to 48,484.86, 72,760.77 and 31,852.86 is: 47,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484.86 : 72,760.77 = 31,852.86 : x
  2. Step 2: Convert to fraction form
    48,484.86/72,760.77 = 31,852.86/x
  3. Step 3: Cross multiply
    48,484.86x = 72,760.77 × 31,852.86
  4. Step 4: Simplify right side
    48,484.86x = 2,317,638,620.30
  5. Step 5: Solve for x
    x = 2,317,638,620.30/48,484.86
  6. Step 6: Final answer
    x = 47,801.29

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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.