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Finding the Fourth Proportional to 98,963.88, 148,429.26 and 35,772.03

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Solution

The fourth proportional to 98,963.88, 148,429.26 and 35,772.03 is: 53,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963.88 : 148,429.26 = 35,772.03 : x
  2. Step 2: Convert to fraction form
    98,963.88/148,429.26 = 35,772.03/x
  3. Step 3: Cross multiply
    98,963.88x = 148,429.26 × 35,772.03
  4. Step 4: Simplify right side
    98,963.88x = 5,309,615,941.60
  5. Step 5: Solve for x
    x = 5,309,615,941.60/98,963.88
  6. Step 6: Final answer
    x = 53,652.06

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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.