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Finding the Fourth Proportional to 54,392, 81,596.64 and 24,809.60

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Solution

The fourth proportional to 54,392, 81,596.64 and 24,809.60 is: 37,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,392 : 81,596.64 = 24,809.60 : x
  2. Step 2: Convert to fraction form
    54,392/81,596.64 = 24,809.60/x
  3. Step 3: Cross multiply
    54,392x = 81,596.64 × 24,809.60
  4. Step 4: Simplify right side
    54,392x = 2,024,379,999.74
  5. Step 5: Solve for x
    x = 2,024,379,999.74/54,392
  6. Step 6: Final answer
    x = 37,218.34

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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.