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Finding the Fourth Proportional to 43,573.82, 65,372.06 and 12,411.50

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Solution

The fourth proportional to 43,573.82, 65,372.06 and 12,411.50 is: 18,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,573.82 : 65,372.06 = 12,411.50 : x
  2. Step 2: Convert to fraction form
    43,573.82/65,372.06 = 12,411.50/x
  3. Step 3: Cross multiply
    43,573.82x = 65,372.06 × 12,411.50
  4. Step 4: Simplify right side
    43,573.82x = 811,365,026.86
  5. Step 5: Solve for x
    x = 811,365,026.86/43,573.82
  6. Step 6: Final answer
    x = 18,620.47

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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.