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Finding the Fourth Proportional to 43,574.82, 65,373.56 and 12,412.50

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Solution

The fourth proportional to 43,574.82, 65,373.56 and 12,412.50 is: 18,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574.82 : 65,373.56 = 12,412.50 : x
  2. Step 2: Convert to fraction form
    43,574.82/65,373.56 = 12,412.50/x
  3. Step 3: Cross multiply
    43,574.82x = 65,373.56 × 12,412.50
  4. Step 4: Simplify right side
    43,574.82x = 811,449,313.50
  5. Step 5: Solve for x
    x = 811,449,313.50/43,574.82
  6. Step 6: Final answer
    x = 18,621.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.