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Finding the Fourth Proportional to 82,068.33, 113,328.96 and 61,890.69

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Solution

The fourth proportional to 82,068.33, 113,328.96 and 61,890.69 is: 85,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068.33 : 113,328.96 = 61,890.69 : x
  2. Step 2: Convert to fraction form
    82,068.33/113,328.96 = 61,890.69/x
  3. Step 3: Cross multiply
    82,068.33x = 113,328.96 × 61,890.69
  4. Step 4: Simplify right side
    82,068.33x = 7,014,007,531.38
  5. Step 5: Solve for x
    x = 7,014,007,531.38/82,068.33
  6. Step 6: Final answer
    x = 85,465.46

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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.