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Finding the Fourth Proportional to 82,716.75, 114,189.21 and 55,482.93

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Solution

The fourth proportional to 82,716.75, 114,189.21 and 55,482.93 is: 76,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.75 : 114,189.21 = 55,482.93 : x
  2. Step 2: Convert to fraction form
    82,716.75/114,189.21 = 55,482.93/x
  3. Step 3: Cross multiply
    82,716.75x = 114,189.21 × 55,482.93
  4. Step 4: Simplify right side
    82,716.75x = 6,335,551,945.19
  5. Step 5: Solve for x
    x = 6,335,551,945.19/82,716.75
  6. Step 6: Final answer
    x = 76,593.34

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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.