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Finding the Fourth Proportional to 84,847.20, 127,222.80 and 32,258.40

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Solution

The fourth proportional to 84,847.20, 127,222.80 and 32,258.40 is: 48,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,847.20 : 127,222.80 = 32,258.40 : x
  2. Step 2: Convert to fraction form
    84,847.20/127,222.80 = 32,258.40/x
  3. Step 3: Cross multiply
    84,847.20x = 127,222.80 × 32,258.40
  4. Step 4: Simplify right side
    84,847.20x = 4,104,003,971.52
  5. Step 5: Solve for x
    x = 4,104,003,971.52/84,847.20
  6. Step 6: Final answer
    x = 48,369.35

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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.