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Finding the Fourth Proportional to 43,509, 60,043.14 and 23,637

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Solution

The fourth proportional to 43,509, 60,043.14 and 23,637 is: 32,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509 : 60,043.14 = 23,637 : x
  2. Step 2: Convert to fraction form
    43,509/60,043.14 = 23,637/x
  3. Step 3: Cross multiply
    43,509x = 60,043.14 × 23,637
  4. Step 4: Simplify right side
    43,509x = 1,419,239,700.18
  5. Step 5: Solve for x
    x = 1,419,239,700.18/43,509
  6. Step 6: Final answer
    x = 32,619.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.