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Finding the Fourth Proportional to 64,696.58, 97,043.79 and 29,138.12

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Solution

The fourth proportional to 64,696.58, 97,043.79 and 29,138.12 is: 43,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696.58 : 97,043.79 = 29,138.12 : x
  2. Step 2: Convert to fraction form
    64,696.58/97,043.79 = 29,138.12/x
  3. Step 3: Cross multiply
    64,696.58x = 97,043.79 × 29,138.12
  4. Step 4: Simplify right side
    64,696.58x = 2,827,673,598.27
  5. Step 5: Solve for x
    x = 2,827,673,598.27/64,696.58
  6. Step 6: Final answer
    x = 43,706.69

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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.