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Finding the Fourth Proportional to 76,776.39, 105,952.21 and 44,518.56

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Solution

The fourth proportional to 76,776.39, 105,952.21 and 44,518.56 is: 61,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.39 : 105,952.21 = 44,518.56 : x
  2. Step 2: Convert to fraction form
    76,776.39/105,952.21 = 44,518.56/x
  3. Step 3: Cross multiply
    76,776.39x = 105,952.21 × 44,518.56
  4. Step 4: Simplify right side
    76,776.39x = 4,716,839,963.44
  5. Step 5: Solve for x
    x = 4,716,839,963.44/76,776.39
  6. Step 6: Final answer
    x = 61,436.08

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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.