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Finding the Fourth Proportional to 98,224.94, 147,271.80 and 30,734.12

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Solution

The fourth proportional to 98,224.94, 147,271.80 and 30,734.12 is: 46,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,224.94 : 147,271.80 = 30,734.12 : x
  2. Step 2: Convert to fraction form
    98,224.94/147,271.80 = 30,734.12/x
  3. Step 3: Cross multiply
    98,224.94x = 147,271.80 × 30,734.12
  4. Step 4: Simplify right side
    98,224.94x = 4,526,269,173.82
  5. Step 5: Solve for x
    x = 4,526,269,173.82/98,224.94
  6. Step 6: Final answer
    x = 46,080.65

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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.