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Finding the Fourth Proportional to 65,305.44, 97,867.44 and 34,078.32

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Solution

The fourth proportional to 65,305.44, 97,867.44 and 34,078.32 is: 51,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.44 : 97,867.44 = 34,078.32 : x
  2. Step 2: Convert to fraction form
    65,305.44/97,867.44 = 34,078.32/x
  3. Step 3: Cross multiply
    65,305.44x = 97,867.44 × 34,078.32
  4. Step 4: Simplify right side
    65,305.44x = 3,335,157,937.90
  5. Step 5: Solve for x
    x = 3,335,157,937.90/65,305.44
  6. Step 6: Final answer
    x = 51,070.14

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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.