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Finding the Fourth Proportional to 65,254.60, 97,892.70 and 27,832.60

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Solution

The fourth proportional to 65,254.60, 97,892.70 and 27,832.60 is: 41,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254.60 : 97,892.70 = 27,832.60 : x
  2. Step 2: Convert to fraction form
    65,254.60/97,892.70 = 27,832.60/x
  3. Step 3: Cross multiply
    65,254.60x = 97,892.70 × 27,832.60
  4. Step 4: Simplify right side
    65,254.60x = 2,724,608,362.02
  5. Step 5: Solve for x
    x = 2,724,608,362.02/65,254.60
  6. Step 6: Final answer
    x = 41,753.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.