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Finding the Fourth Proportional to 41,602.48, 57,415.36 and 22,742.40

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Solution

The fourth proportional to 41,602.48, 57,415.36 and 22,742.40 is: 31,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602.48 : 57,415.36 = 22,742.40 : x
  2. Step 2: Convert to fraction form
    41,602.48/57,415.36 = 22,742.40/x
  3. Step 3: Cross multiply
    41,602.48x = 57,415.36 × 22,742.40
  4. Step 4: Simplify right side
    41,602.48x = 1,305,763,083.26
  5. Step 5: Solve for x
    x = 1,305,763,083.26/41,602.48
  6. Step 6: Final answer
    x = 31,386.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.