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Finding the Fourth Proportional to 66,827.64, 92,205.90 and 37,019.64

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Solution

The fourth proportional to 66,827.64, 92,205.90 and 37,019.64 is: 51,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,827.64 : 92,205.90 = 37,019.64 : x
  2. Step 2: Convert to fraction form
    66,827.64/92,205.90 = 37,019.64/x
  3. Step 3: Cross multiply
    66,827.64x = 92,205.90 × 37,019.64
  4. Step 4: Simplify right side
    66,827.64x = 3,413,429,223.88
  5. Step 5: Solve for x
    x = 3,413,429,223.88/66,827.64
  6. Step 6: Final answer
    x = 51,078.11

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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.