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Finding the Fourth Proportional to 29,802.80, 44,703.90 and 12,033.16

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Solution

The fourth proportional to 29,802.80, 44,703.90 and 12,033.16 is: 18,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.80 : 44,703.90 = 12,033.16 : x
  2. Step 2: Convert to fraction form
    29,802.80/44,703.90 = 12,033.16/x
  3. Step 3: Cross multiply
    29,802.80x = 44,703.90 × 12,033.16
  4. Step 4: Simplify right side
    29,802.80x = 537,929,181.32
  5. Step 5: Solve for x
    x = 537,929,181.32/29,802.80
  6. Step 6: Final answer
    x = 18,049.62

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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.