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Finding the Fourth Proportional to 107,323.65, 160,986.96 and 32,444.42

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Solution

The fourth proportional to 107,323.65, 160,986.96 and 32,444.42 is: 48,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,323.65 : 160,986.96 = 32,444.42 : x
  2. Step 2: Convert to fraction form
    107,323.65/160,986.96 = 32,444.42/x
  3. Step 3: Cross multiply
    107,323.65x = 160,986.96 × 32,444.42
  4. Step 4: Simplify right side
    107,323.65x = 5,223,127,739.83
  5. Step 5: Solve for x
    x = 5,223,127,739.83/107,323.65
  6. Step 6: Final answer
    x = 48,667.07

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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.