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Finding the Fourth Proportional to 98,879.78, 148,318.41 and 24,000.50

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Solution

The fourth proportional to 98,879.78, 148,318.41 and 24,000.50 is: 36,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,879.78 : 148,318.41 = 24,000.50 : x
  2. Step 2: Convert to fraction form
    98,879.78/148,318.41 = 24,000.50/x
  3. Step 3: Cross multiply
    98,879.78x = 148,318.41 × 24,000.50
  4. Step 4: Simplify right side
    98,879.78x = 3,559,715,999.21
  5. Step 5: Solve for x
    x = 3,559,715,999.21/98,879.78
  6. Step 6: Final answer
    x = 36,000.44

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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.