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Finding the Fourth Proportional to 40,421.98, 55,778.94 and 22,521.22

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Solution

The fourth proportional to 40,421.98, 55,778.94 and 22,521.22 is: 31,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,421.98 : 55,778.94 = 22,521.22 : x
  2. Step 2: Convert to fraction form
    40,421.98/55,778.94 = 22,521.22/x
  3. Step 3: Cross multiply
    40,421.98x = 55,778.94 × 22,521.22
  4. Step 4: Simplify right side
    40,421.98x = 1,256,209,779.11
  5. Step 5: Solve for x
    x = 1,256,209,779.11/40,421.98
  6. Step 6: Final answer
    x = 31,077.39

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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.