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Finding the Fourth Proportional to 29,798, 44,696.42 and 12,028.19

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Solution

The fourth proportional to 29,798, 44,696.42 and 12,028.19 is: 18,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798 : 44,696.42 = 12,028.19 : x
  2. Step 2: Convert to fraction form
    29,798/44,696.42 = 12,028.19/x
  3. Step 3: Cross multiply
    29,798x = 44,696.42 × 12,028.19
  4. Step 4: Simplify right side
    29,798x = 537,617,032.08
  5. Step 5: Solve for x
    x = 537,617,032.08/29,798
  6. Step 6: Final answer
    x = 18,042.05

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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.