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Finding the Fourth Proportional to 65,188.32, 97,766.82 and 30,094.26

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Solution

The fourth proportional to 65,188.32, 97,766.82 and 30,094.26 is: 45,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.32 : 97,766.82 = 30,094.26 : x
  2. Step 2: Convert to fraction form
    65,188.32/97,766.82 = 30,094.26/x
  3. Step 3: Cross multiply
    65,188.32x = 97,766.82 × 30,094.26
  4. Step 4: Simplify right side
    65,188.32x = 2,942,220,100.45
  5. Step 5: Solve for x
    x = 2,942,220,100.45/65,188.32
  6. Step 6: Final answer
    x = 45,134.16

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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.