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Finding the Fourth Proportional to 98,965.55, 148,447.44 and 35,761.74

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Solution

The fourth proportional to 98,965.55, 148,447.44 and 35,761.74 is: 53,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,965.55 : 148,447.44 = 35,761.74 : x
  2. Step 2: Convert to fraction form
    98,965.55/148,447.44 = 35,761.74/x
  3. Step 3: Cross multiply
    98,965.55x = 148,447.44 × 35,761.74
  4. Step 4: Simplify right side
    98,965.55x = 5,308,738,752.95
  5. Step 5: Solve for x
    x = 5,308,738,752.95/98,965.55
  6. Step 6: Final answer
    x = 53,642.29

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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.