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Finding the Fourth Proportional to 35,339.36, 53,015.54 and 11,648.31

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Solution

The fourth proportional to 35,339.36, 53,015.54 and 11,648.31 is: 17,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,339.36 : 53,015.54 = 11,648.31 : x
  2. Step 2: Convert to fraction form
    35,339.36/53,015.54 = 11,648.31/x
  3. Step 3: Cross multiply
    35,339.36x = 53,015.54 × 11,648.31
  4. Step 4: Simplify right side
    35,339.36x = 617,541,386.50
  5. Step 5: Solve for x
    x = 617,541,386.50/35,339.36
  6. Step 6: Final answer
    x = 17,474.61

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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.