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Finding the Fourth Proportional to 52,750.76, 72,796.98 and 35,989.16

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Solution

The fourth proportional to 52,750.76, 72,796.98 and 35,989.16 is: 49,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750.76 : 72,796.98 = 35,989.16 : x
  2. Step 2: Convert to fraction form
    52,750.76/72,796.98 = 35,989.16/x
  3. Step 3: Cross multiply
    52,750.76x = 72,796.98 × 35,989.16
  4. Step 4: Simplify right side
    52,750.76x = 2,619,902,160.74
  5. Step 5: Solve for x
    x = 2,619,902,160.74/52,750.76
  6. Step 6: Final answer
    x = 49,665.68

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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.