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Finding the Fourth Proportional to 98,632.08, 147,949.20 and 28,512

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Solution

The fourth proportional to 98,632.08, 147,949.20 and 28,512 is: 42,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632.08 : 147,949.20 = 28,512 : x
  2. Step 2: Convert to fraction form
    98,632.08/147,949.20 = 28,512/x
  3. Step 3: Cross multiply
    98,632.08x = 147,949.20 × 28,512
  4. Step 4: Simplify right side
    98,632.08x = 4,218,327,590.40
  5. Step 5: Solve for x
    x = 4,218,327,590.40/98,632.08
  6. Step 6: Final answer
    x = 42,768.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.