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Finding the Fourth Proportional to 53,217.84, 73,474.84 and 33,102.08

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Solution

The fourth proportional to 53,217.84, 73,474.84 and 33,102.08 is: 45,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217.84 : 73,474.84 = 33,102.08 : x
  2. Step 2: Convert to fraction form
    53,217.84/73,474.84 = 33,102.08/x
  3. Step 3: Cross multiply
    53,217.84x = 73,474.84 × 33,102.08
  4. Step 4: Simplify right side
    53,217.84x = 2,432,170,031.67
  5. Step 5: Solve for x
    x = 2,432,170,031.67/53,217.84
  6. Step 6: Final answer
    x = 45,702.16

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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.