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Finding the Fourth Proportional to 77,393.76, 106,822.44 and 47,195.75

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Solution

The fourth proportional to 77,393.76, 106,822.44 and 47,195.75 is: 65,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393.76 : 106,822.44 = 47,195.75 : x
  2. Step 2: Convert to fraction form
    77,393.76/106,822.44 = 47,195.75/x
  3. Step 3: Cross multiply
    77,393.76x = 106,822.44 × 47,195.75
  4. Step 4: Simplify right side
    77,393.76x = 5,041,564,638.52
  5. Step 5: Solve for x
    x = 5,041,564,638.52/77,393.76
  6. Step 6: Final answer
    x = 65,141.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.