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Finding the Fourth Proportional to 107,295.40, 160,942.30 and 32,415.40

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Solution

The fourth proportional to 107,295.40, 160,942.30 and 32,415.40 is: 48,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,295.40 : 160,942.30 = 32,415.40 : x
  2. Step 2: Convert to fraction form
    107,295.40/160,942.30 = 32,415.40/x
  3. Step 3: Cross multiply
    107,295.40x = 160,942.30 × 32,415.40
  4. Step 4: Simplify right side
    107,295.40x = 5,217,009,031.42
  5. Step 5: Solve for x
    x = 5,217,009,031.42/107,295.40
  6. Step 6: Final answer
    x = 48,622.86

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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.