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Finding the Fourth Proportional to 30,412.66, 41,969.06 and 16,984.16

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Solution

The fourth proportional to 30,412.66, 41,969.06 and 16,984.16 is: 23,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.66 : 41,969.06 = 16,984.16 : x
  2. Step 2: Convert to fraction form
    30,412.66/41,969.06 = 16,984.16/x
  3. Step 3: Cross multiply
    30,412.66x = 41,969.06 × 16,984.16
  4. Step 4: Simplify right side
    30,412.66x = 712,809,230.09
  5. Step 5: Solve for x
    x = 712,809,230.09/30,412.66
  6. Step 6: Final answer
    x = 23,437.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.