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Finding the Fourth Proportional to 66,772.68, 92,146.38 and 38,477.64

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Solution

The fourth proportional to 66,772.68, 92,146.38 and 38,477.64 is: 53,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,772.68 : 92,146.38 = 38,477.64 : x
  2. Step 2: Convert to fraction form
    66,772.68/92,146.38 = 38,477.64/x
  3. Step 3: Cross multiply
    66,772.68x = 92,146.38 × 38,477.64
  4. Step 4: Simplify right side
    66,772.68x = 3,545,575,236.94
  5. Step 5: Solve for x
    x = 3,545,575,236.94/66,772.68
  6. Step 6: Final answer
    x = 53,099.19

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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.