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Finding the Fourth Proportional to 35,576, 49,097.76 and 20,674.88

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Solution

The fourth proportional to 35,576, 49,097.76 and 20,674.88 is: 28,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576 : 49,097.76 = 20,674.88 : x
  2. Step 2: Convert to fraction form
    35,576/49,097.76 = 20,674.88/x
  3. Step 3: Cross multiply
    35,576x = 49,097.76 × 20,674.88
  4. Step 4: Simplify right side
    35,576x = 1,015,090,296.27
  5. Step 5: Solve for x
    x = 1,015,090,296.27/35,576
  6. Step 6: Final answer
    x = 28,533.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.