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Finding the Fourth Proportional to 98,861.63, 148,261.77 and 35,673.53

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Solution

The fourth proportional to 98,861.63, 148,261.77 and 35,673.53 is: 53,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,861.63 : 148,261.77 = 35,673.53 : x
  2. Step 2: Convert to fraction form
    98,861.63/148,261.77 = 35,673.53/x
  3. Step 3: Cross multiply
    98,861.63x = 148,261.77 × 35,673.53
  4. Step 4: Simplify right side
    98,861.63x = 5,289,019,958.64
  5. Step 5: Solve for x
    x = 5,289,019,958.64/98,861.63
  6. Step 6: Final answer
    x = 53,499.22

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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.