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Finding the Fourth Proportional to 107,364.96, 160,983.84 and 32,462.40

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Solution

The fourth proportional to 107,364.96, 160,983.84 and 32,462.40 is: 48,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,364.96 : 160,983.84 = 32,462.40 : x
  2. Step 2: Convert to fraction form
    107,364.96/160,983.84 = 32,462.40/x
  3. Step 3: Cross multiply
    107,364.96x = 160,983.84 × 32,462.40
  4. Step 4: Simplify right side
    107,364.96x = 5,225,921,807.62
  5. Step 5: Solve for x
    x = 5,225,921,807.62/107,364.96
  6. Step 6: Final answer
    x = 48,674.37

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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.