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Finding the Fourth Proportional to 83,216.72, 114,841.32 and 49,702.16

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Solution

The fourth proportional to 83,216.72, 114,841.32 and 49,702.16 is: 68,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.72 : 114,841.32 = 49,702.16 : x
  2. Step 2: Convert to fraction form
    83,216.72/114,841.32 = 49,702.16/x
  3. Step 3: Cross multiply
    83,216.72x = 114,841.32 × 49,702.16
  4. Step 4: Simplify right side
    83,216.72x = 5,707,861,661.25
  5. Step 5: Solve for x
    x = 5,707,861,661.25/83,216.72
  6. Step 6: Final answer
    x = 68,590.32

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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.