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Finding the Fourth Proportional to 37,357.74, 56,039.85 and 19,827.18

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Solution

The fourth proportional to 37,357.74, 56,039.85 and 19,827.18 is: 29,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,357.74 : 56,039.85 = 19,827.18 : x
  2. Step 2: Convert to fraction form
    37,357.74/56,039.85 = 19,827.18/x
  3. Step 3: Cross multiply
    37,357.74x = 56,039.85 × 19,827.18
  4. Step 4: Simplify right side
    37,357.74x = 1,111,112,193.12
  5. Step 5: Solve for x
    x = 1,111,112,193.12/37,357.74
  6. Step 6: Final answer
    x = 29,742.49

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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.