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Finding the Fourth Proportional to 38,652.36, 53,447.63 and 30,680.75

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Solution

The fourth proportional to 38,652.36, 53,447.63 and 30,680.75 is: 42,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652.36 : 53,447.63 = 30,680.75 : x
  2. Step 2: Convert to fraction form
    38,652.36/53,447.63 = 30,680.75/x
  3. Step 3: Cross multiply
    38,652.36x = 53,447.63 × 30,680.75
  4. Step 4: Simplify right side
    38,652.36x = 1,639,812,953.48
  5. Step 5: Solve for x
    x = 1,639,812,953.48/38,652.36
  6. Step 6: Final answer
    x = 42,424.65

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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.