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Finding the Fourth Proportional to 64,682.60, 97,023.92 and 29,102.36

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Solution

The fourth proportional to 64,682.60, 97,023.92 and 29,102.36 is: 43,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682.60 : 97,023.92 = 29,102.36 : x
  2. Step 2: Convert to fraction form
    64,682.60/97,023.92 = 29,102.36/x
  3. Step 3: Cross multiply
    64,682.60x = 97,023.92 × 29,102.36
  4. Step 4: Simplify right side
    64,682.60x = 2,823,624,417.82
  5. Step 5: Solve for x
    x = 2,823,624,417.82/64,682.60
  6. Step 6: Final answer
    x = 43,653.54

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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.