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Finding the Fourth Proportional to 56,991.50, 78,646.14 and 32,796.20

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Solution

The fourth proportional to 56,991.50, 78,646.14 and 32,796.20 is: 45,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,991.50 : 78,646.14 = 32,796.20 : x
  2. Step 2: Convert to fraction form
    56,991.50/78,646.14 = 32,796.20/x
  3. Step 3: Cross multiply
    56,991.50x = 78,646.14 × 32,796.20
  4. Step 4: Simplify right side
    56,991.50x = 2,579,294,536.67
  5. Step 5: Solve for x
    x = 2,579,294,536.67/56,991.50
  6. Step 6: Final answer
    x = 45,257.53

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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.