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Finding the Fourth Proportional to 82,699.74, 124,016.22 and 32,072.11

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Solution

The fourth proportional to 82,699.74, 124,016.22 and 32,072.11 is: 48,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,699.74 : 124,016.22 = 32,072.11 : x
  2. Step 2: Convert to fraction form
    82,699.74/124,016.22 = 32,072.11/x
  3. Step 3: Cross multiply
    82,699.74x = 124,016.22 × 32,072.11
  4. Step 4: Simplify right side
    82,699.74x = 3,977,461,849.62
  5. Step 5: Solve for x
    x = 3,977,461,849.62/82,699.74
  6. Step 6: Final answer
    x = 48,095.22

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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.