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Finding the Fourth Proportional to 33,106.40, 45,642.11 and 22,477.58

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Solution

The fourth proportional to 33,106.40, 45,642.11 and 22,477.58 is: 30,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.40 : 45,642.11 = 22,477.58 : x
  2. Step 2: Convert to fraction form
    33,106.40/45,642.11 = 22,477.58/x
  3. Step 3: Cross multiply
    33,106.40x = 45,642.11 × 22,477.58
  4. Step 4: Simplify right side
    33,106.40x = 1,025,924,178.89
  5. Step 5: Solve for x
    x = 1,025,924,178.89/33,106.40
  6. Step 6: Final answer
    x = 30,988.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.