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Finding the Fourth Proportional to 65,393.92, 98,076.26 and 30,329.02

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Solution

The fourth proportional to 65,393.92, 98,076.26 and 30,329.02 is: 45,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393.92 : 98,076.26 = 30,329.02 : x
  2. Step 2: Convert to fraction form
    65,393.92/98,076.26 = 30,329.02/x
  3. Step 3: Cross multiply
    65,393.92x = 98,076.26 × 30,329.02
  4. Step 4: Simplify right side
    65,393.92x = 2,974,556,851.07
  5. Step 5: Solve for x
    x = 2,974,556,851.07/65,393.92
  6. Step 6: Final answer
    x = 45,486.75

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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.