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Finding the Fourth Proportional to 86,442.30, 119,291.84 and 47,684.57

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Solution

The fourth proportional to 86,442.30, 119,291.84 and 47,684.57 is: 65,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442.30 : 119,291.84 = 47,684.57 : x
  2. Step 2: Convert to fraction form
    86,442.30/119,291.84 = 47,684.57/x
  3. Step 3: Cross multiply
    86,442.30x = 119,291.84 × 47,684.57
  4. Step 4: Simplify right side
    86,442.30x = 5,688,379,260.03
  5. Step 5: Solve for x
    x = 5,688,379,260.03/86,442.30
  6. Step 6: Final answer
    x = 65,805.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.