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Finding the Fourth Proportional to 98,477.92, 147,756.96 and 45,855.04

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Solution

The fourth proportional to 98,477.92, 147,756.96 and 45,855.04 is: 68,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477.92 : 147,756.96 = 45,855.04 : x
  2. Step 2: Convert to fraction form
    98,477.92/147,756.96 = 45,855.04/x
  3. Step 3: Cross multiply
    98,477.92x = 147,756.96 × 45,855.04
  4. Step 4: Simplify right side
    98,477.92x = 6,775,401,311.08
  5. Step 5: Solve for x
    x = 6,775,401,311.08/98,477.92
  6. Step 6: Final answer
    x = 68,801.22

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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.