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Finding the Fourth Proportional to 91,906.69, 137,784.70 and 32,708.65

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Solution

The fourth proportional to 91,906.69, 137,784.70 and 32,708.65 is: 49,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,906.69 : 137,784.70 = 32,708.65 : x
  2. Step 2: Convert to fraction form
    91,906.69/137,784.70 = 32,708.65/x
  3. Step 3: Cross multiply
    91,906.69x = 137,784.70 × 32,708.65
  4. Step 4: Simplify right side
    91,906.69x = 4,506,751,527.66
  5. Step 5: Solve for x
    x = 4,506,751,527.66/91,906.69
  6. Step 6: Final answer
    x = 49,036.16

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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.