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Finding the Fourth Proportional to 52,869.38, 72,953 and 30,209.84

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Solution

The fourth proportional to 52,869.38, 72,953 and 30,209.84 is: 41,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869.38 : 72,953 = 30,209.84 : x
  2. Step 2: Convert to fraction form
    52,869.38/72,953 = 30,209.84/x
  3. Step 3: Cross multiply
    52,869.38x = 72,953 × 30,209.84
  4. Step 4: Simplify right side
    52,869.38x = 2,203,898,457.52
  5. Step 5: Solve for x
    x = 2,203,898,457.52/52,869.38
  6. Step 6: Final answer
    x = 41,685.73

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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.