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Finding the Fourth Proportional to 52,803, 72,901.26 and 33,972.84

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Solution

The fourth proportional to 52,803, 72,901.26 and 33,972.84 is: 46,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803 : 72,901.26 = 33,972.84 : x
  2. Step 2: Convert to fraction form
    52,803/72,901.26 = 33,972.84/x
  3. Step 3: Cross multiply
    52,803x = 72,901.26 × 33,972.84
  4. Step 4: Simplify right side
    52,803x = 2,476,662,841.78
  5. Step 5: Solve for x
    x = 2,476,662,841.78/52,803
  6. Step 6: Final answer
    x = 46,903.83

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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.