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Finding the Fourth Proportional to 77,404.58, 106,837.32 and 47,206.56

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Solution

The fourth proportional to 77,404.58, 106,837.32 and 47,206.56 is: 65,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404.58 : 106,837.32 = 47,206.56 : x
  2. Step 2: Convert to fraction form
    77,404.58/106,837.32 = 47,206.56/x
  3. Step 3: Cross multiply
    77,404.58x = 106,837.32 × 47,206.56
  4. Step 4: Simplify right side
    77,404.58x = 5,043,422,356.82
  5. Step 5: Solve for x
    x = 5,043,422,356.82/77,404.58
  6. Step 6: Final answer
    x = 65,156.64

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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.