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Finding the Fourth Proportional to 84,159.50, 126,238.23 and 48,674.21

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Solution

The fourth proportional to 84,159.50, 126,238.23 and 48,674.21 is: 73,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159.50 : 126,238.23 = 48,674.21 : x
  2. Step 2: Convert to fraction form
    84,159.50/126,238.23 = 48,674.21/x
  3. Step 3: Cross multiply
    84,159.50x = 126,238.23 × 48,674.21
  4. Step 4: Simplify right side
    84,159.50x = 6,144,545,485.86
  5. Step 5: Solve for x
    x = 6,144,545,485.86/84,159.50
  6. Step 6: Final answer
    x = 73,010.72

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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.