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Finding the Fourth Proportional to 98,365, 147,548.04 and 24,493

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Solution

The fourth proportional to 98,365, 147,548.04 and 24,493 is: 36,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,365 : 147,548.04 = 24,493 : x
  2. Step 2: Convert to fraction form
    98,365/147,548.04 = 24,493/x
  3. Step 3: Cross multiply
    98,365x = 147,548.04 × 24,493
  4. Step 4: Simplify right side
    98,365x = 3,613,894,143.72
  5. Step 5: Solve for x
    x = 3,613,894,143.72/98,365
  6. Step 6: Final answer
    x = 36,739.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.