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Finding the Fourth Proportional to 53,809.72, 80,674.39 and 37,122.14

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Solution

The fourth proportional to 53,809.72, 80,674.39 and 37,122.14 is: 55,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809.72 : 80,674.39 = 37,122.14 : x
  2. Step 2: Convert to fraction form
    53,809.72/80,674.39 = 37,122.14/x
  3. Step 3: Cross multiply
    53,809.72x = 80,674.39 × 37,122.14
  4. Step 4: Simplify right side
    53,809.72x = 2,994,806,248.08
  5. Step 5: Solve for x
    x = 2,994,806,248.08/53,809.72
  6. Step 6: Final answer
    x = 55,655.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.