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Finding the Fourth Proportional to 43,322.23, 64,978.35 and 11,730.41

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Solution

The fourth proportional to 43,322.23, 64,978.35 and 11,730.41 is: 17,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322.23 : 64,978.35 = 11,730.41 : x
  2. Step 2: Convert to fraction form
    43,322.23/64,978.35 = 11,730.41/x
  3. Step 3: Cross multiply
    43,322.23x = 64,978.35 × 11,730.41
  4. Step 4: Simplify right side
    43,322.23x = 762,222,686.62
  5. Step 5: Solve for x
    x = 762,222,686.62/43,322.23
  6. Step 6: Final answer
    x = 17,594.26

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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.