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Finding the Fourth Proportional to 66,820.97, 92,210.54 and 38,142.11

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Solution

The fourth proportional to 66,820.97, 92,210.54 and 38,142.11 is: 52,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820.97 : 92,210.54 = 38,142.11 : x
  2. Step 2: Convert to fraction form
    66,820.97/92,210.54 = 38,142.11/x
  3. Step 3: Cross multiply
    66,820.97x = 92,210.54 × 38,142.11
  4. Step 4: Simplify right side
    66,820.97x = 3,517,104,599.66
  5. Step 5: Solve for x
    x = 3,517,104,599.66/66,820.97
  6. Step 6: Final answer
    x = 52,634.74

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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.