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Finding the Fourth Proportional to 98,639.77, 147,967.77 and 32,078.44

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Solution

The fourth proportional to 98,639.77, 147,967.77 and 32,078.44 is: 48,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,639.77 : 147,967.77 = 32,078.44 : x
  2. Step 2: Convert to fraction form
    98,639.77/147,967.77 = 32,078.44/x
  3. Step 3: Cross multiply
    98,639.77x = 147,967.77 × 32,078.44
  4. Step 4: Simplify right side
    98,639.77x = 4,746,575,231.88
  5. Step 5: Solve for x
    x = 4,746,575,231.88/98,639.77
  6. Step 6: Final answer
    x = 48,120.30

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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.