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Finding the Fourth Proportional to 82,851.44, 114,333.96 and 45,125.60

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Solution

The fourth proportional to 82,851.44, 114,333.96 and 45,125.60 is: 62,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.44 : 114,333.96 = 45,125.60 : x
  2. Step 2: Convert to fraction form
    82,851.44/114,333.96 = 45,125.60/x
  3. Step 3: Cross multiply
    82,851.44x = 114,333.96 × 45,125.60
  4. Step 4: Simplify right side
    82,851.44x = 5,159,388,545.38
  5. Step 5: Solve for x
    x = 5,159,388,545.38/82,851.44
  6. Step 6: Final answer
    x = 62,272.77

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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.