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Finding the Fourth Proportional to 98,773.48, 148,184.52 and 28,651.78

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Solution

The fourth proportional to 98,773.48, 148,184.52 and 28,651.78 is: 42,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,773.48 : 148,184.52 = 28,651.78 : x
  2. Step 2: Convert to fraction form
    98,773.48/148,184.52 = 28,651.78/x
  3. Step 3: Cross multiply
    98,773.48x = 148,184.52 × 28,651.78
  4. Step 4: Simplify right side
    98,773.48x = 4,245,750,266.45
  5. Step 5: Solve for x
    x = 4,245,750,266.45/98,773.48
  6. Step 6: Final answer
    x = 42,984.72

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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.