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Finding the Fourth Proportional to 65,267.02, 97,944.29 and 23,714.02

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Solution

The fourth proportional to 65,267.02, 97,944.29 and 23,714.02 is: 35,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.02 : 97,944.29 = 23,714.02 : x
  2. Step 2: Convert to fraction form
    65,267.02/97,944.29 = 23,714.02/x
  3. Step 3: Cross multiply
    65,267.02x = 97,944.29 × 23,714.02
  4. Step 4: Simplify right side
    65,267.02x = 2,322,652,393.80
  5. Step 5: Solve for x
    x = 2,322,652,393.80/65,267.02
  6. Step 6: Final answer
    x = 35,586.93

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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.