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Finding the Fourth Proportional to 65,146.53, 97,735.71 and 20,773.29

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Solution

The fourth proportional to 65,146.53, 97,735.71 and 20,773.29 is: 31,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.53 : 97,735.71 = 20,773.29 : x
  2. Step 2: Convert to fraction form
    65,146.53/97,735.71 = 20,773.29/x
  3. Step 3: Cross multiply
    65,146.53x = 97,735.71 × 20,773.29
  4. Step 4: Simplify right side
    65,146.53x = 2,030,292,247.19
  5. Step 5: Solve for x
    x = 2,030,292,247.19/65,146.53
  6. Step 6: Final answer
    x = 31,165.01

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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.