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Finding the Fourth Proportional to 77,966.33, 107,568.98 and 47,720.12

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Solution

The fourth proportional to 77,966.33, 107,568.98 and 47,720.12 is: 65,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966.33 : 107,568.98 = 47,720.12 : x
  2. Step 2: Convert to fraction form
    77,966.33/107,568.98 = 47,720.12/x
  3. Step 3: Cross multiply
    77,966.33x = 107,568.98 × 47,720.12
  4. Step 4: Simplify right side
    77,966.33x = 5,133,204,633.88
  5. Step 5: Solve for x
    x = 5,133,204,633.88/77,966.33
  6. Step 6: Final answer
    x = 65,838.74

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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.