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Finding the Fourth Proportional to 56,238.30, 77,606.48 and 32,365.80

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Solution

The fourth proportional to 56,238.30, 77,606.48 and 32,365.80 is: 44,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238.30 : 77,606.48 = 32,365.80 : x
  2. Step 2: Convert to fraction form
    56,238.30/77,606.48 = 32,365.80/x
  3. Step 3: Cross multiply
    56,238.30x = 77,606.48 × 32,365.80
  4. Step 4: Simplify right side
    56,238.30x = 2,511,795,810.38
  5. Step 5: Solve for x
    x = 2,511,795,810.38/56,238.30
  6. Step 6: Final answer
    x = 44,663.44

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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.