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Finding the Fourth Proportional to 52,485.84, 72,412.38 and 36,564.48

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Solution

The fourth proportional to 52,485.84, 72,412.38 and 36,564.48 is: 50,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,485.84 : 72,412.38 = 36,564.48 : x
  2. Step 2: Convert to fraction form
    52,485.84/72,412.38 = 36,564.48/x
  3. Step 3: Cross multiply
    52,485.84x = 72,412.38 × 36,564.48
  4. Step 4: Simplify right side
    52,485.84x = 2,647,721,020.26
  5. Step 5: Solve for x
    x = 2,647,721,020.26/52,485.84
  6. Step 6: Final answer
    x = 50,446.39

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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.