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Finding the Fourth Proportional to 66,906.24, 92,292.12 and 41,712

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Solution

The fourth proportional to 66,906.24, 92,292.12 and 41,712 is: 57,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906.24 : 92,292.12 = 41,712 : x
  2. Step 2: Convert to fraction form
    66,906.24/92,292.12 = 41,712/x
  3. Step 3: Cross multiply
    66,906.24x = 92,292.12 × 41,712
  4. Step 4: Simplify right side
    66,906.24x = 3,849,688,909.44
  5. Step 5: Solve for x
    x = 3,849,688,909.44/66,906.24
  6. Step 6: Final answer
    x = 57,538.56

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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.