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Finding the Fourth Proportional to 35,224.63, 52,843.85 and 13,038.19

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Solution

The fourth proportional to 35,224.63, 52,843.85 and 13,038.19 is: 19,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.63 : 52,843.85 = 13,038.19 : x
  2. Step 2: Convert to fraction form
    35,224.63/52,843.85 = 13,038.19/x
  3. Step 3: Cross multiply
    35,224.63x = 52,843.85 × 13,038.19
  4. Step 4: Simplify right side
    35,224.63x = 688,988,091.44
  5. Step 5: Solve for x
    x = 688,988,091.44/35,224.63
  6. Step 6: Final answer
    x = 19,559.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.