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Finding the Fourth Proportional to 64,889.56, 97,310.58 and 31,599.64

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Solution

The fourth proportional to 64,889.56, 97,310.58 and 31,599.64 is: 47,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,889.56 : 97,310.58 = 31,599.64 : x
  2. Step 2: Convert to fraction form
    64,889.56/97,310.58 = 31,599.64/x
  3. Step 3: Cross multiply
    64,889.56x = 97,310.58 × 31,599.64
  4. Step 4: Simplify right side
    64,889.56x = 3,074,979,296.19
  5. Step 5: Solve for x
    x = 3,074,979,296.19/64,889.56
  6. Step 6: Final answer
    x = 47,387.89

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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.