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Finding the Fourth Proportional to 57,462.90, 86,009.67 and 30,742.22

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Solution

The fourth proportional to 57,462.90, 86,009.67 and 30,742.22 is: 46,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.90 : 86,009.67 = 30,742.22 : x
  2. Step 2: Convert to fraction form
    57,462.90/86,009.67 = 30,742.22/x
  3. Step 3: Cross multiply
    57,462.90x = 86,009.67 × 30,742.22
  4. Step 4: Simplify right side
    57,462.90x = 2,644,127,767.22
  5. Step 5: Solve for x
    x = 2,644,127,767.22/57,462.90
  6. Step 6: Final answer
    x = 46,014.52

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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.