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Finding the Fourth Proportional to 42,649.18, 63,842.55 and 27,826.18

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Solution

The fourth proportional to 42,649.18, 63,842.55 and 27,826.18 is: 41,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,649.18 : 63,842.55 = 27,826.18 : x
  2. Step 2: Convert to fraction form
    42,649.18/63,842.55 = 27,826.18/x
  3. Step 3: Cross multiply
    42,649.18x = 63,842.55 × 27,826.18
  4. Step 4: Simplify right side
    42,649.18x = 1,776,494,024.00
  5. Step 5: Solve for x
    x = 1,776,494,024.00/42,649.18
  6. Step 6: Final answer
    x = 41,653.65

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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.