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Finding the Fourth Proportional to 35,648.16, 49,193.88 and 19,732.26

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Solution

The fourth proportional to 35,648.16, 49,193.88 and 19,732.26 is: 27,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.16 : 49,193.88 = 19,732.26 : x
  2. Step 2: Convert to fraction form
    35,648.16/49,193.88 = 19,732.26/x
  3. Step 3: Cross multiply
    35,648.16x = 49,193.88 × 19,732.26
  4. Step 4: Simplify right side
    35,648.16x = 970,706,430.57
  5. Step 5: Solve for x
    x = 970,706,430.57/35,648.16
  6. Step 6: Final answer
    x = 27,230.20

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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.