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Finding the Fourth Proportional to 98,967.39, 148,449.01 and 24,087.96

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Solution

The fourth proportional to 98,967.39, 148,449.01 and 24,087.96 is: 36,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.39 : 148,449.01 = 24,087.96 : x
  2. Step 2: Convert to fraction form
    98,967.39/148,449.01 = 24,087.96/x
  3. Step 3: Cross multiply
    98,967.39x = 148,449.01 × 24,087.96
  4. Step 4: Simplify right side
    98,967.39x = 3,575,833,450.10
  5. Step 5: Solve for x
    x = 3,575,833,450.10/98,967.39
  6. Step 6: Final answer
    x = 36,131.43

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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.