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Finding the Fourth Proportional to 64,676.29, 97,014.47 and 29,096.06

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Solution

The fourth proportional to 64,676.29, 97,014.47 and 29,096.06 is: 43,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676.29 : 97,014.47 = 29,096.06 : x
  2. Step 2: Convert to fraction form
    64,676.29/97,014.47 = 29,096.06/x
  3. Step 3: Cross multiply
    64,676.29x = 97,014.47 × 29,096.06
  4. Step 4: Simplify right side
    64,676.29x = 2,822,738,775.60
  5. Step 5: Solve for x
    x = 2,822,738,775.60/64,676.29
  6. Step 6: Final answer
    x = 43,644.10

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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.