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Finding the Fourth Proportional to 56,387.80, 77,809.74 and 33,722.20

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Solution

The fourth proportional to 56,387.80, 77,809.74 and 33,722.20 is: 46,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387.80 : 77,809.74 = 33,722.20 : x
  2. Step 2: Convert to fraction form
    56,387.80/77,809.74 = 33,722.20/x
  3. Step 3: Cross multiply
    56,387.80x = 77,809.74 × 33,722.20
  4. Step 4: Simplify right side
    56,387.80x = 2,623,915,614.23
  5. Step 5: Solve for x
    x = 2,623,915,614.23/56,387.80
  6. Step 6: Final answer
    x = 46,533.39

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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.