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Finding the Fourth Proportional to 43,699.18, 65,558.50 and 12,532

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Solution

The fourth proportional to 43,699.18, 65,558.50 and 12,532 is: 18,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699.18 : 65,558.50 = 12,532 : x
  2. Step 2: Convert to fraction form
    43,699.18/65,558.50 = 12,532/x
  3. Step 3: Cross multiply
    43,699.18x = 65,558.50 × 12,532
  4. Step 4: Simplify right side
    43,699.18x = 821,579,122
  5. Step 5: Solve for x
    x = 821,579,122/43,699.18
  6. Step 6: Final answer
    x = 18,800.79

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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.