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Finding the Fourth Proportional to 72,038.73, 108,045.54 and 32,586.60

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Solution

The fourth proportional to 72,038.73, 108,045.54 and 32,586.60 is: 48,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038.73 : 108,045.54 = 32,586.60 : x
  2. Step 2: Convert to fraction form
    72,038.73/108,045.54 = 32,586.60/x
  3. Step 3: Cross multiply
    72,038.73x = 108,045.54 × 32,586.60
  4. Step 4: Simplify right side
    72,038.73x = 3,520,836,793.76
  5. Step 5: Solve for x
    x = 3,520,836,793.76/72,038.73
  6. Step 6: Final answer
    x = 48,874.22

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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.