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Finding the Fourth Proportional to 43,543, 60,089.82 and 23,671

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Solution

The fourth proportional to 43,543, 60,089.82 and 23,671 is: 32,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,543 : 60,089.82 = 23,671 : x
  2. Step 2: Convert to fraction form
    43,543/60,089.82 = 23,671/x
  3. Step 3: Cross multiply
    43,543x = 60,089.82 × 23,671
  4. Step 4: Simplify right side
    43,543x = 1,422,386,129.22
  5. Step 5: Solve for x
    x = 1,422,386,129.22/43,543
  6. Step 6: Final answer
    x = 32,666.24

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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.