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Finding the Fourth Proportional to 57,716.68, 86,509.40 and 24,415.96

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Solution

The fourth proportional to 57,716.68, 86,509.40 and 24,415.96 is: 36,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.68 : 86,509.40 = 24,415.96 : x
  2. Step 2: Convert to fraction form
    57,716.68/86,509.40 = 24,415.96/x
  3. Step 3: Cross multiply
    57,716.68x = 86,509.40 × 24,415.96
  4. Step 4: Simplify right side
    57,716.68x = 2,112,210,050.02
  5. Step 5: Solve for x
    x = 2,112,210,050.02/57,716.68
  6. Step 6: Final answer
    x = 36,596.18

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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.