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Finding the Fourth Proportional to 39,762, 54,871.56 and 22,996.08

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Solution

The fourth proportional to 39,762, 54,871.56 and 22,996.08 is: 31,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762 : 54,871.56 = 22,996.08 : x
  2. Step 2: Convert to fraction form
    39,762/54,871.56 = 22,996.08/x
  3. Step 3: Cross multiply
    39,762x = 54,871.56 × 22,996.08
  4. Step 4: Simplify right side
    39,762x = 1,261,830,783.48
  5. Step 5: Solve for x
    x = 1,261,830,783.48/39,762
  6. Step 6: Final answer
    x = 31,734.59

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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.