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Finding the Fourth Proportional to 35,648.40, 53,370.20 and 21,824.40

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Solution

The fourth proportional to 35,648.40, 53,370.20 and 21,824.40 is: 32,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.40 : 53,370.20 = 21,824.40 : x
  2. Step 2: Convert to fraction form
    35,648.40/53,370.20 = 21,824.40/x
  3. Step 3: Cross multiply
    35,648.40x = 53,370.20 × 21,824.40
  4. Step 4: Simplify right side
    35,648.40x = 1,164,772,592.88
  5. Step 5: Solve for x
    x = 1,164,772,592.88/35,648.40
  6. Step 6: Final answer
    x = 32,673.91

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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.