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Finding the Fourth Proportional to 52,809.21, 72,849.45 and 35,807.70

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Solution

The fourth proportional to 52,809.21, 72,849.45 and 35,807.70 is: 49,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.21 : 72,849.45 = 35,807.70 : x
  2. Step 2: Convert to fraction form
    52,809.21/72,849.45 = 35,807.70/x
  3. Step 3: Cross multiply
    52,809.21x = 72,849.45 × 35,807.70
  4. Step 4: Simplify right side
    52,809.21x = 2,608,571,250.77
  5. Step 5: Solve for x
    x = 2,608,571,250.77/52,809.21
  6. Step 6: Final answer
    x = 49,396.14

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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.