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Finding the Fourth Proportional to 73,773, 110,659.50 and 24,525

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Solution

The fourth proportional to 73,773, 110,659.50 and 24,525 is: 36,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,773 : 110,659.50 = 24,525 : x
  2. Step 2: Convert to fraction form
    73,773/110,659.50 = 24,525/x
  3. Step 3: Cross multiply
    73,773x = 110,659.50 × 24,525
  4. Step 4: Simplify right side
    73,773x = 2,713,924,237.50
  5. Step 5: Solve for x
    x = 2,713,924,237.50/73,773
  6. Step 6: Final answer
    x = 36,787.50

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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.