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Finding the Fourth Proportional to 72,285.80, 108,461.10 and 32,822.60

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Solution

The fourth proportional to 72,285.80, 108,461.10 and 32,822.60 is: 49,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285.80 : 108,461.10 = 32,822.60 : x
  2. Step 2: Convert to fraction form
    72,285.80/108,461.10 = 32,822.60/x
  3. Step 3: Cross multiply
    72,285.80x = 108,461.10 × 32,822.60
  4. Step 4: Simplify right side
    72,285.80x = 3,559,975,300.86
  5. Step 5: Solve for x
    x = 3,559,975,300.86/72,285.80
  6. Step 6: Final answer
    x = 49,248.61

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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.