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Finding the Fourth Proportional to 35,398.09, 53,042.04 and 13,205.50

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Solution

The fourth proportional to 35,398.09, 53,042.04 and 13,205.50 is: 19,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398.09 : 53,042.04 = 13,205.50 : x
  2. Step 2: Convert to fraction form
    35,398.09/53,042.04 = 13,205.50/x
  3. Step 3: Cross multiply
    35,398.09x = 53,042.04 × 13,205.50
  4. Step 4: Simplify right side
    35,398.09x = 700,446,659.22
  5. Step 5: Solve for x
    x = 700,446,659.22/35,398.09
  6. Step 6: Final answer
    x = 19,787.70

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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.