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Finding the Fourth Proportional to 35,247, 52,854.12 and 13,059.48

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Solution

The fourth proportional to 35,247, 52,854.12 and 13,059.48 is: 19,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,247 : 52,854.12 = 13,059.48 : x
  2. Step 2: Convert to fraction form
    35,247/52,854.12 = 13,059.48/x
  3. Step 3: Cross multiply
    35,247x = 52,854.12 × 13,059.48
  4. Step 4: Simplify right side
    35,247x = 690,247,323.06
  5. Step 5: Solve for x
    x = 690,247,323.06/35,247
  6. Step 6: Final answer
    x = 19,583.15

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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.