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Finding the Fourth Proportional to 47,963.20, 67,061 and 47,963.20

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Solution

The fourth proportional to 47,963.20, 67,061 and 47,963.20 is: 67,061

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.20 : 67,061 = 47,963.20 : x
  2. Step 2: Convert to fraction form
    47,963.20/67,061 = 47,963.20/x
  3. Step 3: Cross multiply
    47,963.20x = 67,061 × 47,963.20
  4. Step 4: Simplify right side
    47,963.20x = 3,216,460,155.20
  5. Step 5: Solve for x
    x = 3,216,460,155.20/47,963.20
  6. Step 6: Final answer
    x = 67,061

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.