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Finding the Fourth Proportional to 64,194.36, 96,301.92 and 19,810.74

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Solution

The fourth proportional to 64,194.36, 96,301.92 and 19,810.74 is: 29,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194.36 : 96,301.92 = 19,810.74 : x
  2. Step 2: Convert to fraction form
    64,194.36/96,301.92 = 19,810.74/x
  3. Step 3: Cross multiply
    64,194.36x = 96,301.92 × 19,810.74
  4. Step 4: Simplify right side
    64,194.36x = 1,907,812,298.62
  5. Step 5: Solve for x
    x = 1,907,812,298.62/64,194.36
  6. Step 6: Final answer
    x = 29,719.31

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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.