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Finding the Fourth Proportional to 37,427.40, 56,092.41 and 15,214.86

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Solution

The fourth proportional to 37,427.40, 56,092.41 and 15,214.86 is: 22,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427.40 : 56,092.41 = 15,214.86 : x
  2. Step 2: Convert to fraction form
    37,427.40/56,092.41 = 15,214.86/x
  3. Step 3: Cross multiply
    37,427.40x = 56,092.41 × 15,214.86
  4. Step 4: Simplify right side
    37,427.40x = 853,438,165.21
  5. Step 5: Solve for x
    x = 853,438,165.21/37,427.40
  6. Step 6: Final answer
    x = 22,802.50

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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.