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Finding the Fourth Proportional to 102,502.86, 153,741.57 and 27,628.86

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Solution

The fourth proportional to 102,502.86, 153,741.57 and 27,628.86 is: 41,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502.86 : 153,741.57 = 27,628.86 : x
  2. Step 2: Convert to fraction form
    102,502.86/153,741.57 = 27,628.86/x
  3. Step 3: Cross multiply
    102,502.86x = 153,741.57 × 27,628.86
  4. Step 4: Simplify right side
    102,502.86x = 4,247,704,313.71
  5. Step 5: Solve for x
    x = 4,247,704,313.71/102,502.86
  6. Step 6: Final answer
    x = 41,439.86

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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.