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Finding the Fourth Proportional to 32,147.74, 44,334.26 and 22,058.38

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Solution

The fourth proportional to 32,147.74, 44,334.26 and 22,058.38 is: 30,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.74 : 44,334.26 = 22,058.38 : x
  2. Step 2: Convert to fraction form
    32,147.74/44,334.26 = 22,058.38/x
  3. Step 3: Cross multiply
    32,147.74x = 44,334.26 × 22,058.38
  4. Step 4: Simplify right side
    32,147.74x = 977,941,954.10
  5. Step 5: Solve for x
    x = 977,941,954.10/32,147.74
  6. Step 6: Final answer
    x = 30,420.24

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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.