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Finding the Fourth Proportional to 64,460.31, 96,719.47 and 34,843.47

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Solution

The fourth proportional to 64,460.31, 96,719.47 and 34,843.47 is: 52,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,460.31 : 96,719.47 = 34,843.47 : x
  2. Step 2: Convert to fraction form
    64,460.31/96,719.47 = 34,843.47/x
  3. Step 3: Cross multiply
    64,460.31x = 96,719.47 × 34,843.47
  4. Step 4: Simplify right side
    64,460.31x = 3,370,041,501.55
  5. Step 5: Solve for x
    x = 3,370,041,501.55/64,460.31
  6. Step 6: Final answer
    x = 52,280.88

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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.