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Finding the Fourth Proportional to 36,615.69, 54,875.52 and 20,827.98

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Solution

The fourth proportional to 36,615.69, 54,875.52 and 20,827.98 is: 31,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,615.69 : 54,875.52 = 20,827.98 : x
  2. Step 2: Convert to fraction form
    36,615.69/54,875.52 = 20,827.98/x
  3. Step 3: Cross multiply
    36,615.69x = 54,875.52 × 20,827.98
  4. Step 4: Simplify right side
    36,615.69x = 1,142,946,233.05
  5. Step 5: Solve for x
    x = 1,142,946,233.05/36,615.69
  6. Step 6: Final answer
    x = 31,214.66

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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.