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Finding the Fourth Proportional to 27,358.86, 37,819 and 24,403.98

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Solution

The fourth proportional to 27,358.86, 37,819 and 24,403.98 is: 33,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358.86 : 37,819 = 24,403.98 : x
  2. Step 2: Convert to fraction form
    27,358.86/37,819 = 24,403.98/x
  3. Step 3: Cross multiply
    27,358.86x = 37,819 × 24,403.98
  4. Step 4: Simplify right side
    27,358.86x = 922,934,119.62
  5. Step 5: Solve for x
    x = 922,934,119.62/27,358.86
  6. Step 6: Final answer
    x = 33,734.38

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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.