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Finding the Fourth Proportional to 52,018.44, 71,784.93 and 28,144.60

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Solution

The fourth proportional to 52,018.44, 71,784.93 and 28,144.60 is: 38,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018.44 : 71,784.93 = 28,144.60 : x
  2. Step 2: Convert to fraction form
    52,018.44/71,784.93 = 28,144.60/x
  3. Step 3: Cross multiply
    52,018.44x = 71,784.93 × 28,144.60
  4. Step 4: Simplify right side
    52,018.44x = 2,020,358,140.88
  5. Step 5: Solve for x
    x = 2,020,358,140.88/52,018.44
  6. Step 6: Final answer
    x = 38,839.27

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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.