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Finding the Fourth Proportional to 65,096.70, 97,645.05 and 30,104.70

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Solution

The fourth proportional to 65,096.70, 97,645.05 and 30,104.70 is: 45,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.70 : 97,645.05 = 30,104.70 : x
  2. Step 2: Convert to fraction form
    65,096.70/97,645.05 = 30,104.70/x
  3. Step 3: Cross multiply
    65,096.70x = 97,645.05 × 30,104.70
  4. Step 4: Simplify right side
    65,096.70x = 2,939,574,936.74
  5. Step 5: Solve for x
    x = 2,939,574,936.74/65,096.70
  6. Step 6: Final answer
    x = 45,157.05

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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.