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Finding the Fourth Proportional to 65,190.48, 89,962.92 and 35,382.48

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Solution

The fourth proportional to 65,190.48, 89,962.92 and 35,382.48 is: 48,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190.48 : 89,962.92 = 35,382.48 : x
  2. Step 2: Convert to fraction form
    65,190.48/89,962.92 = 35,382.48/x
  3. Step 3: Cross multiply
    65,190.48x = 89,962.92 × 35,382.48
  4. Step 4: Simplify right side
    65,190.48x = 3,183,111,217.64
  5. Step 5: Solve for x
    x = 3,183,111,217.64/65,190.48
  6. Step 6: Final answer
    x = 48,827.85

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1.5x scale

Why These Related Problems?

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