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Finding the Fourth Proportional to 76,716.06, 105,868.11 and 43,182.78

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Solution

The fourth proportional to 76,716.06, 105,868.11 and 43,182.78 is: 59,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.06 : 105,868.11 = 43,182.78 : x
  2. Step 2: Convert to fraction form
    76,716.06/105,868.11 = 43,182.78/x
  3. Step 3: Cross multiply
    76,716.06x = 105,868.11 × 43,182.78
  4. Step 4: Simplify right side
    76,716.06x = 4,571,679,303.15
  5. Step 5: Solve for x
    x = 4,571,679,303.15/76,716.06
  6. Step 6: Final answer
    x = 59,592.21

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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.