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Finding the Fourth Proportional to 66,962, 92,407.56 and 37,154

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Solution

The fourth proportional to 66,962, 92,407.56 and 37,154 is: 51,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,962 : 92,407.56 = 37,154 : x
  2. Step 2: Convert to fraction form
    66,962/92,407.56 = 37,154/x
  3. Step 3: Cross multiply
    66,962x = 92,407.56 × 37,154
  4. Step 4: Simplify right side
    66,962x = 3,433,310,484.24
  5. Step 5: Solve for x
    x = 3,433,310,484.24/66,962
  6. Step 6: Final answer
    x = 51,272.52

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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.