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Finding the Fourth Proportional to 42,655.69, 63,852.29 and 27,832.69

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Solution

The fourth proportional to 42,655.69, 63,852.29 and 27,832.69 is: 41,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,655.69 : 63,852.29 = 27,832.69 : x
  2. Step 2: Convert to fraction form
    42,655.69/63,852.29 = 27,832.69/x
  3. Step 3: Cross multiply
    42,655.69x = 63,852.29 × 27,832.69
  4. Step 4: Simplify right side
    42,655.69x = 1,777,180,534.94
  5. Step 5: Solve for x
    x = 1,777,180,534.94/42,655.69
  6. Step 6: Final answer
    x = 41,663.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.