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Finding the Fourth Proportional to 52,128, 71,936.64 and 28,254.60

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Solution

The fourth proportional to 52,128, 71,936.64 and 28,254.60 is: 38,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 71,936.64 = 28,254.60 : x
  2. Step 2: Convert to fraction form
    52,128/71,936.64 = 28,254.60/x
  3. Step 3: Cross multiply
    52,128x = 71,936.64 × 28,254.60
  4. Step 4: Simplify right side
    52,128x = 2,032,540,988.54
  5. Step 5: Solve for x
    x = 2,032,540,988.54/52,128
  6. Step 6: Final answer
    x = 38,991.35

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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.