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Finding the Fourth Proportional to 52,001.96, 71,762.49 and 28,128.69

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Solution

The fourth proportional to 52,001.96, 71,762.49 and 28,128.69 is: 38,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.96 : 71,762.49 = 28,128.69 : x
  2. Step 2: Convert to fraction form
    52,001.96/71,762.49 = 28,128.69/x
  3. Step 3: Cross multiply
    52,001.96x = 71,762.49 × 28,128.69
  4. Step 4: Simplify right side
    52,001.96x = 2,018,584,834.84
  5. Step 5: Solve for x
    x = 2,018,584,834.84/52,001.96
  6. Step 6: Final answer
    x = 38,817.48

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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.