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Finding the Fourth Proportional to 47,100.30, 70,541.10 and 32,228.70

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Solution

The fourth proportional to 47,100.30, 70,541.10 and 32,228.70 is: 48,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100.30 : 70,541.10 = 32,228.70 : x
  2. Step 2: Convert to fraction form
    47,100.30/70,541.10 = 32,228.70/x
  3. Step 3: Cross multiply
    47,100.30x = 70,541.10 × 32,228.70
  4. Step 4: Simplify right side
    47,100.30x = 2,273,447,949.57
  5. Step 5: Solve for x
    x = 2,273,447,949.57/47,100.30
  6. Step 6: Final answer
    x = 48,268.23

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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.