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Finding the Fourth Proportional to 53,186.76, 79,760.70 and 22,005

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Solution

The fourth proportional to 53,186.76, 79,760.70 and 22,005 is: 32,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,186.76 : 79,760.70 = 22,005 : x
  2. Step 2: Convert to fraction form
    53,186.76/79,760.70 = 22,005/x
  3. Step 3: Cross multiply
    53,186.76x = 79,760.70 × 22,005
  4. Step 4: Simplify right side
    53,186.76x = 1,755,134,203.50
  5. Step 5: Solve for x
    x = 1,755,134,203.50/53,186.76
  6. Step 6: Final answer
    x = 32,999.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.