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Finding the Fourth Proportional to 33,152.64, 45,735.36 and 21,210.24

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Solution

The fourth proportional to 33,152.64, 45,735.36 and 21,210.24 is: 29,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.64 : 45,735.36 = 21,210.24 : x
  2. Step 2: Convert to fraction form
    33,152.64/45,735.36 = 21,210.24/x
  3. Step 3: Cross multiply
    33,152.64x = 45,735.36 × 21,210.24
  4. Step 4: Simplify right side
    33,152.64x = 970,057,962.09
  5. Step 5: Solve for x
    x = 970,057,962.09/33,152.64
  6. Step 6: Final answer
    x = 29,260.35

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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.