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Finding the Fourth Proportional to 41,284.70, 56,971.95 and 22,421.42

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Solution

The fourth proportional to 41,284.70, 56,971.95 and 22,421.42 is: 30,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284.70 : 56,971.95 = 22,421.42 : x
  2. Step 2: Convert to fraction form
    41,284.70/56,971.95 = 22,421.42/x
  3. Step 3: Cross multiply
    41,284.70x = 56,971.95 × 22,421.42
  4. Step 4: Simplify right side
    41,284.70x = 1,277,392,019.17
  5. Step 5: Solve for x
    x = 1,277,392,019.17/41,284.70
  6. Step 6: Final answer
    x = 30,941.05

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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.