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Finding the Fourth Proportional to 129,624.70, 194,413.05 and 36,111.10

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Solution

The fourth proportional to 129,624.70, 194,413.05 and 36,111.10 is: 54,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624.70 : 194,413.05 = 36,111.10 : x
  2. Step 2: Convert to fraction form
    129,624.70/194,413.05 = 36,111.10/x
  3. Step 3: Cross multiply
    129,624.70x = 194,413.05 × 36,111.10
  4. Step 4: Simplify right side
    129,624.70x = 7,020,469,089.86
  5. Step 5: Solve for x
    x = 7,020,469,089.86/129,624.70
  6. Step 6: Final answer
    x = 54,159.96

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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.