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Finding the Fourth Proportional to 125,527.86, 188,291.67 and 32,033.61

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Solution

The fourth proportional to 125,527.86, 188,291.67 and 32,033.61 is: 48,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,527.86 : 188,291.67 = 32,033.61 : x
  2. Step 2: Convert to fraction form
    125,527.86/188,291.67 = 32,033.61/x
  3. Step 3: Cross multiply
    125,527.86x = 188,291.67 × 32,033.61
  4. Step 4: Simplify right side
    125,527.86x = 6,031,661,923.03
  5. Step 5: Solve for x
    x = 6,031,661,923.03/125,527.86
  6. Step 6: Final answer
    x = 48,050.38

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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.