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Finding the Fourth Proportional to 66,714.36, 92,068 and 38,033.50

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Solution

The fourth proportional to 66,714.36, 92,068 and 38,033.50 is: 52,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,714.36 : 92,068 = 38,033.50 : x
  2. Step 2: Convert to fraction form
    66,714.36/92,068 = 38,033.50/x
  3. Step 3: Cross multiply
    66,714.36x = 92,068 × 38,033.50
  4. Step 4: Simplify right side
    66,714.36x = 3,501,668,278
  5. Step 5: Solve for x
    x = 3,501,668,278/66,714.36
  6. Step 6: Final answer
    x = 52,487.47

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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.