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Finding the Fourth Proportional to 61,864.86, 92,733.90 and 24,409.79

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Solution

The fourth proportional to 61,864.86, 92,733.90 and 24,409.79 is: 36,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,864.86 : 92,733.90 = 24,409.79 : x
  2. Step 2: Convert to fraction form
    61,864.86/92,733.90 = 24,409.79/x
  3. Step 3: Cross multiply
    61,864.86x = 92,733.90 × 24,409.79
  4. Step 4: Simplify right side
    61,864.86x = 2,263,614,561.21
  5. Step 5: Solve for x
    x = 2,263,614,561.21/61,864.86
  6. Step 6: Final answer
    x = 36,589.67

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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.