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Finding the Fourth Proportional to 33,152.40, 45,774.72 and 22,538.16

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Solution

The fourth proportional to 33,152.40, 45,774.72 and 22,538.16 is: 31,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.40 : 45,774.72 = 22,538.16 : x
  2. Step 2: Convert to fraction form
    33,152.40/45,774.72 = 22,538.16/x
  3. Step 3: Cross multiply
    33,152.40x = 45,774.72 × 22,538.16
  4. Step 4: Simplify right side
    33,152.40x = 1,031,677,963.32
  5. Step 5: Solve for x
    x = 1,031,677,963.32/33,152.40
  6. Step 6: Final answer
    x = 31,119.25

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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.