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Finding the Fourth Proportional to 98,967.30, 148,448.87 and 24,087.86

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Solution

The fourth proportional to 98,967.30, 148,448.87 and 24,087.86 is: 36,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.30 : 148,448.87 = 24,087.86 : x
  2. Step 2: Convert to fraction form
    98,967.30/148,448.87 = 24,087.86/x
  3. Step 3: Cross multiply
    98,967.30x = 148,448.87 × 24,087.86
  4. Step 4: Simplify right side
    98,967.30x = 3,575,816,029.06
  5. Step 5: Solve for x
    x = 3,575,816,029.06/98,967.30
  6. Step 6: Final answer
    x = 36,131.29

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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.