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Finding the Fourth Proportional to 43,574.94, 65,373.75 and 12,412.62

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Solution

The fourth proportional to 43,574.94, 65,373.75 and 12,412.62 is: 18,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574.94 : 65,373.75 = 12,412.62 : x
  2. Step 2: Convert to fraction form
    43,574.94/65,373.75 = 12,412.62/x
  3. Step 3: Cross multiply
    43,574.94x = 65,373.75 × 12,412.62
  4. Step 4: Simplify right side
    43,574.94x = 811,459,516.73
  5. Step 5: Solve for x
    x = 811,459,516.73/43,574.94
  6. Step 6: Final answer
    x = 18,622.16

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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.