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Finding the Fourth Proportional to 65,309.34, 97,886.25 and 45,480.54

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Solution

The fourth proportional to 65,309.34, 97,886.25 and 45,480.54 is: 68,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.34 : 97,886.25 = 45,480.54 : x
  2. Step 2: Convert to fraction form
    65,309.34/97,886.25 = 45,480.54/x
  3. Step 3: Cross multiply
    65,309.34x = 97,886.25 × 45,480.54
  4. Step 4: Simplify right side
    65,309.34x = 4,451,919,508.58
  5. Step 5: Solve for x
    x = 4,451,919,508.58/65,309.34
  6. Step 6: Final answer
    x = 68,166.66

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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.