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Finding the Fourth Proportional to 70,710.48, 106,083 and 23,963.76

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Solution

The fourth proportional to 70,710.48, 106,083 and 23,963.76 is: 35,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.48 : 106,083 = 23,963.76 : x
  2. Step 2: Convert to fraction form
    70,710.48/106,083 = 23,963.76/x
  3. Step 3: Cross multiply
    70,710.48x = 106,083 × 23,963.76
  4. Step 4: Simplify right side
    70,710.48x = 2,542,147,552.08
  5. Step 5: Solve for x
    x = 2,542,147,552.08/70,710.48
  6. Step 6: Final answer
    x = 35,951.50

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1.5x scale

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.