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Finding the Fourth Proportional to 77,507.76, 106,757 and 59,568.44

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Solution

The fourth proportional to 77,507.76, 106,757 and 59,568.44 is: 82,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,507.76 : 106,757 = 59,568.44 : x
  2. Step 2: Convert to fraction form
    77,507.76/106,757 = 59,568.44/x
  3. Step 3: Cross multiply
    77,507.76x = 106,757 × 59,568.44
  4. Step 4: Simplify right side
    77,507.76x = 6,359,347,949.08
  5. Step 5: Solve for x
    x = 6,359,347,949.08/77,507.76
  6. Step 6: Final answer
    x = 82,047.89

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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.