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Finding the Fourth Proportional to 64,729.64, 97,105.54 and 29,672.30

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Solution

The fourth proportional to 64,729.64, 97,105.54 and 29,672.30 is: 44,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729.64 : 97,105.54 = 29,672.30 : x
  2. Step 2: Convert to fraction form
    64,729.64/97,105.54 = 29,672.30/x
  3. Step 3: Cross multiply
    64,729.64x = 97,105.54 × 29,672.30
  4. Step 4: Simplify right side
    64,729.64x = 2,881,344,714.54
  5. Step 5: Solve for x
    x = 2,881,344,714.54/64,729.64
  6. Step 6: Final answer
    x = 44,513.53

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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.