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Finding the Fourth Proportional to 43,580.69, 65,371.95 and 12,415.94

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Solution

The fourth proportional to 43,580.69, 65,371.95 and 12,415.94 is: 18,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,580.69 : 65,371.95 = 12,415.94 : x
  2. Step 2: Convert to fraction form
    43,580.69/65,371.95 = 12,415.94/x
  3. Step 3: Cross multiply
    43,580.69x = 65,371.95 × 12,415.94
  4. Step 4: Simplify right side
    43,580.69x = 811,654,146.80
  5. Step 5: Solve for x
    x = 811,654,146.80/43,580.69
  6. Step 6: Final answer
    x = 18,624.17

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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.