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Finding the Fourth Proportional to 65,326, 90,150.54 and 35,518.64

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Solution

The fourth proportional to 65,326, 90,150.54 and 35,518.64 is: 49,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,326 : 90,150.54 = 35,518.64 : x
  2. Step 2: Convert to fraction form
    65,326/90,150.54 = 35,518.64/x
  3. Step 3: Cross multiply
    65,326x = 90,150.54 × 35,518.64
  4. Step 4: Simplify right side
    65,326x = 3,202,024,576.07
  5. Step 5: Solve for x
    x = 3,202,024,576.07/65,326
  6. Step 6: Final answer
    x = 49,016.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.