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Finding the Fourth Proportional to 33,170.40, 45,784.56 and 21,848.16

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Solution

The fourth proportional to 33,170.40, 45,784.56 and 21,848.16 is: 30,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.40 : 45,784.56 = 21,848.16 : x
  2. Step 2: Convert to fraction form
    33,170.40/45,784.56 = 21,848.16/x
  3. Step 3: Cross multiply
    33,170.40x = 45,784.56 × 21,848.16
  4. Step 4: Simplify right side
    33,170.40x = 1,000,308,392.41
  5. Step 5: Solve for x
    x = 1,000,308,392.41/33,170.40
  6. Step 6: Final answer
    x = 30,156.66

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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.