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Finding the Fourth Proportional to 101,742.90, 152,554.41 and 41,753.49

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Solution

The fourth proportional to 101,742.90, 152,554.41 and 41,753.49 is: 62,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.90 : 152,554.41 = 41,753.49 : x
  2. Step 2: Convert to fraction form
    101,742.90/152,554.41 = 41,753.49/x
  3. Step 3: Cross multiply
    101,742.90x = 152,554.41 × 41,753.49
  4. Step 4: Simplify right side
    101,742.90x = 6,369,679,032.39
  5. Step 5: Solve for x
    x = 6,369,679,032.39/101,742.90
  6. Step 6: Final answer
    x = 62,605.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.