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Finding the Fourth Proportional to 30,699.02, 46,047.99 and 12,231.02

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Solution

The fourth proportional to 30,699.02, 46,047.99 and 12,231.02 is: 18,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699.02 : 46,047.99 = 12,231.02 : x
  2. Step 2: Convert to fraction form
    30,699.02/46,047.99 = 12,231.02/x
  3. Step 3: Cross multiply
    30,699.02x = 46,047.99 × 12,231.02
  4. Step 4: Simplify right side
    30,699.02x = 563,213,886.65
  5. Step 5: Solve for x
    x = 563,213,886.65/30,699.02
  6. Step 6: Final answer
    x = 18,346.31

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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.