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Finding the Fourth Proportional to 77,974, 107,597.58 and 46,137.32

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Solution

The fourth proportional to 77,974, 107,597.58 and 46,137.32 is: 63,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,974 : 107,597.58 = 46,137.32 : x
  2. Step 2: Convert to fraction form
    77,974/107,597.58 = 46,137.32/x
  3. Step 3: Cross multiply
    77,974x = 107,597.58 × 46,137.32
  4. Step 4: Simplify right side
    77,974x = 4,964,263,979.69
  5. Step 5: Solve for x
    x = 4,964,263,979.69/77,974
  6. Step 6: Final answer
    x = 63,665.63

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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.