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Finding the Fourth Proportional to 65,201.12, 89,977.32 and 35,393.12

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Solution

The fourth proportional to 65,201.12, 89,977.32 and 35,393.12 is: 48,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.12 : 89,977.32 = 35,393.12 : x
  2. Step 2: Convert to fraction form
    65,201.12/89,977.32 = 35,393.12/x
  3. Step 3: Cross multiply
    65,201.12x = 89,977.32 × 35,393.12
  4. Step 4: Simplify right side
    65,201.12x = 3,184,578,084.04
  5. Step 5: Solve for x
    x = 3,184,578,084.04/65,201.12
  6. Step 6: Final answer
    x = 48,842.38

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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.