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Finding the Fourth Proportional to 72,595.38, 100,205.11 and 47,056.69

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Solution

The fourth proportional to 72,595.38, 100,205.11 and 47,056.69 is: 64,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,595.38 : 100,205.11 = 47,056.69 : x
  2. Step 2: Convert to fraction form
    72,595.38/100,205.11 = 47,056.69/x
  3. Step 3: Cross multiply
    72,595.38x = 100,205.11 × 47,056.69
  4. Step 4: Simplify right side
    72,595.38x = 4,715,320,797.69
  5. Step 5: Solve for x
    x = 4,715,320,797.69/72,595.38
  6. Step 6: Final answer
    x = 64,953.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.