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Finding the Fourth Proportional to 54,698.73, 82,048.10 and 17,762.73

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Solution

The fourth proportional to 54,698.73, 82,048.10 and 17,762.73 is: 26,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.73 : 82,048.10 = 17,762.73 : x
  2. Step 2: Convert to fraction form
    54,698.73/82,048.10 = 17,762.73/x
  3. Step 3: Cross multiply
    54,698.73x = 82,048.10 × 17,762.73
  4. Step 4: Simplify right side
    54,698.73x = 1,457,398,247.31
  5. Step 5: Solve for x
    x = 1,457,398,247.31/54,698.73
  6. Step 6: Final answer
    x = 26,644.10

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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.