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Finding the Fourth Proportional to 43,699.60, 65,551.84 and 12,534

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Solution

The fourth proportional to 43,699.60, 65,551.84 and 12,534 is: 18,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699.60 : 65,551.84 = 12,534 : x
  2. Step 2: Convert to fraction form
    43,699.60/65,551.84 = 12,534/x
  3. Step 3: Cross multiply
    43,699.60x = 65,551.84 × 12,534
  4. Step 4: Simplify right side
    43,699.60x = 821,626,762.56
  5. Step 5: Solve for x
    x = 821,626,762.56/43,699.60
  6. Step 6: Final answer
    x = 18,801.70

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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.