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Finding the Fourth Proportional to 53,694.84, 74,102.22 and 32,475

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Solution

The fourth proportional to 53,694.84, 74,102.22 and 32,475 is: 44,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.84 : 74,102.22 = 32,475 : x
  2. Step 2: Convert to fraction form
    53,694.84/74,102.22 = 32,475/x
  3. Step 3: Cross multiply
    53,694.84x = 74,102.22 × 32,475
  4. Step 4: Simplify right side
    53,694.84x = 2,406,469,594.50
  5. Step 5: Solve for x
    x = 2,406,469,594.50/53,694.84
  6. Step 6: Final answer
    x = 44,817.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.