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Finding the Fourth Proportional to 64,174.92, 96,284.24 and 34,595.60

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Solution

The fourth proportional to 64,174.92, 96,284.24 and 34,595.60 is: 51,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,174.92 : 96,284.24 = 34,595.60 : x
  2. Step 2: Convert to fraction form
    64,174.92/96,284.24 = 34,595.60/x
  3. Step 3: Cross multiply
    64,174.92x = 96,284.24 × 34,595.60
  4. Step 4: Simplify right side
    64,174.92x = 3,331,011,053.34
  5. Step 5: Solve for x
    x = 3,331,011,053.34/64,174.92
  6. Step 6: Final answer
    x = 51,905.18

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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.