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Finding the Fourth Proportional to 38,853.87, 53,618.54 and 22,946.16

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Solution

The fourth proportional to 38,853.87, 53,618.54 and 22,946.16 is: 31,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.87 : 53,618.54 = 22,946.16 : x
  2. Step 2: Convert to fraction form
    38,853.87/53,618.54 = 22,946.16/x
  3. Step 3: Cross multiply
    38,853.87x = 53,618.54 × 22,946.16
  4. Step 4: Simplify right side
    38,853.87x = 1,230,339,597.81
  5. Step 5: Solve for x
    x = 1,230,339,597.81/38,853.87
  6. Step 6: Final answer
    x = 31,665.82

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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.