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Finding the Fourth Proportional to 107,270.40, 160,904.80 and 32,390.40

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Solution

The fourth proportional to 107,270.40, 160,904.80 and 32,390.40 is: 48,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,270.40 : 160,904.80 = 32,390.40 : x
  2. Step 2: Convert to fraction form
    107,270.40/160,904.80 = 32,390.40/x
  3. Step 3: Cross multiply
    107,270.40x = 160,904.80 × 32,390.40
  4. Step 4: Simplify right side
    107,270.40x = 5,211,770,833.92
  5. Step 5: Solve for x
    x = 5,211,770,833.92/107,270.40
  6. Step 6: Final answer
    x = 48,585.36

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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.