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Finding the Fourth Proportional to 52,009.40, 71,773.10 and 28,136.10

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Solution

The fourth proportional to 52,009.40, 71,773.10 and 28,136.10 is: 38,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.40 : 71,773.10 = 28,136.10 : x
  2. Step 2: Convert to fraction form
    52,009.40/71,773.10 = 28,136.10/x
  3. Step 3: Cross multiply
    52,009.40x = 71,773.10 × 28,136.10
  4. Step 4: Simplify right side
    52,009.40x = 2,019,415,118.91
  5. Step 5: Solve for x
    x = 2,019,415,118.91/52,009.40
  6. Step 6: Final answer
    x = 38,827.89

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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.