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Finding the Fourth Proportional to 65,020.32, 89,727.48 and 35,212.32

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Solution

The fourth proportional to 65,020.32, 89,727.48 and 35,212.32 is: 48,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.32 : 89,727.48 = 35,212.32 : x
  2. Step 2: Convert to fraction form
    65,020.32/89,727.48 = 35,212.32/x
  3. Step 3: Cross multiply
    65,020.32x = 89,727.48 × 35,212.32
  4. Step 4: Simplify right side
    65,020.32x = 3,159,512,738.55
  5. Step 5: Solve for x
    x = 3,159,512,738.55/65,020.32
  6. Step 6: Final answer
    x = 48,592.70

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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.