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Finding the Fourth Proportional to 47,777.50, 71,681.37 and 21,484.54

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Solution

The fourth proportional to 47,777.50, 71,681.37 and 21,484.54 is: 32,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.50 : 71,681.37 = 21,484.54 : x
  2. Step 2: Convert to fraction form
    47,777.50/71,681.37 = 21,484.54/x
  3. Step 3: Cross multiply
    47,777.50x = 71,681.37 × 21,484.54
  4. Step 4: Simplify right side
    47,777.50x = 1,540,041,261.02
  5. Step 5: Solve for x
    x = 1,540,041,261.02/47,777.50
  6. Step 6: Final answer
    x = 32,233.61

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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.