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Finding the Fourth Proportional to 105,234.24, 157,846.22 and 38,669.24

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Solution

The fourth proportional to 105,234.24, 157,846.22 and 38,669.24 is: 58,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234.24 : 157,846.22 = 38,669.24 : x
  2. Step 2: Convert to fraction form
    105,234.24/157,846.22 = 38,669.24/x
  3. Step 3: Cross multiply
    105,234.24x = 157,846.22 × 38,669.24
  4. Step 4: Simplify right side
    105,234.24x = 6,103,793,364.27
  5. Step 5: Solve for x
    x = 6,103,793,364.27/105,234.24
  6. Step 6: Final answer
    x = 58,001.97

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1.5x scale

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.