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Finding the Fourth Proportional to 116,071.62, 174,111.56 and 37,175.60

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Solution

The fourth proportional to 116,071.62, 174,111.56 and 37,175.60 is: 55,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,071.62 : 174,111.56 = 37,175.60 : x
  2. Step 2: Convert to fraction form
    116,071.62/174,111.56 = 37,175.60/x
  3. Step 3: Cross multiply
    116,071.62x = 174,111.56 × 37,175.60
  4. Step 4: Simplify right side
    116,071.62x = 6,472,700,653.50
  5. Step 5: Solve for x
    x = 6,472,700,653.50/116,071.62
  6. Step 6: Final answer
    x = 55,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.