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Finding the Fourth Proportional to 85,716.86, 128,595.80 and 35,769.17

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Solution

The fourth proportional to 85,716.86, 128,595.80 and 35,769.17 is: 53,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716.86 : 128,595.80 = 35,769.17 : x
  2. Step 2: Convert to fraction form
    85,716.86/128,595.80 = 35,769.17/x
  3. Step 3: Cross multiply
    85,716.86x = 128,595.80 × 35,769.17
  4. Step 4: Simplify right side
    85,716.86x = 4,599,764,477.93
  5. Step 5: Solve for x
    x = 4,599,764,477.93/85,716.86
  6. Step 6: Final answer
    x = 53,662.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.