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Finding the Fourth Proportional to 57,808.16, 86,723.94 and 32,860.16

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Solution

The fourth proportional to 57,808.16, 86,723.94 and 32,860.16 is: 49,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,808.16 : 86,723.94 = 32,860.16 : x
  2. Step 2: Convert to fraction form
    57,808.16/86,723.94 = 32,860.16/x
  3. Step 3: Cross multiply
    57,808.16x = 86,723.94 × 32,860.16
  4. Step 4: Simplify right side
    57,808.16x = 2,849,762,544.23
  5. Step 5: Solve for x
    x = 2,849,762,544.23/57,808.16
  6. Step 6: Final answer
    x = 49,296.89

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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.