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Finding the Fourth Proportional to 98,097.63, 147,147.83 and 27,976.94

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Solution

The fourth proportional to 98,097.63, 147,147.83 and 27,976.94 is: 41,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,097.63 : 147,147.83 = 27,976.94 : x
  2. Step 2: Convert to fraction form
    98,097.63/147,147.83 = 27,976.94/x
  3. Step 3: Cross multiply
    98,097.63x = 147,147.83 × 27,976.94
  4. Step 4: Simplify right side
    98,097.63x = 4,116,746,011.04
  5. Step 5: Solve for x
    x = 4,116,746,011.04/98,097.63
  6. Step 6: Final answer
    x = 41,965.80

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1.5x scale

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.