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Finding the Fourth Proportional to 46,355.72, 69,532.86 and 18,653

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Solution

The fourth proportional to 46,355.72, 69,532.86 and 18,653 is: 27,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,355.72 : 69,532.86 = 18,653 : x
  2. Step 2: Convert to fraction form
    46,355.72/69,532.86 = 18,653/x
  3. Step 3: Cross multiply
    46,355.72x = 69,532.86 × 18,653
  4. Step 4: Simplify right side
    46,355.72x = 1,296,996,437.58
  5. Step 5: Solve for x
    x = 1,296,996,437.58/46,355.72
  6. Step 6: Final answer
    x = 27,979.21

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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.