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Finding the Fourth Proportional to 98,766.32, 148,173.08 and 32,206.54

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Solution

The fourth proportional to 98,766.32, 148,173.08 and 32,206.54 is: 48,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766.32 : 148,173.08 = 32,206.54 : x
  2. Step 2: Convert to fraction form
    98,766.32/148,173.08 = 32,206.54/x
  3. Step 3: Cross multiply
    98,766.32x = 148,173.08 × 32,206.54
  4. Step 4: Simplify right side
    98,766.32x = 4,772,141,874.60
  5. Step 5: Solve for x
    x = 4,772,141,874.60/98,766.32
  6. Step 6: Final answer
    x = 48,317.50

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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.