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Finding the Fourth Proportional to 29,982.66, 44,973.98 and 9,206.16

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Solution

The fourth proportional to 29,982.66, 44,973.98 and 9,206.16 is: 13,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.66 : 44,973.98 = 9,206.16 : x
  2. Step 2: Convert to fraction form
    29,982.66/44,973.98 = 9,206.16/x
  3. Step 3: Cross multiply
    29,982.66x = 44,973.98 × 9,206.16
  4. Step 4: Simplify right side
    29,982.66x = 414,037,527.34
  5. Step 5: Solve for x
    x = 414,037,527.34/29,982.66
  6. Step 6: Final answer
    x = 13,809.23

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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.