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Finding the Fourth Proportional to 39,533.52, 54,576 and 22,763.28

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Solution

The fourth proportional to 39,533.52, 54,576 and 22,763.28 is: 31,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533.52 : 54,576 = 22,763.28 : x
  2. Step 2: Convert to fraction form
    39,533.52/54,576 = 22,763.28/x
  3. Step 3: Cross multiply
    39,533.52x = 54,576 × 22,763.28
  4. Step 4: Simplify right side
    39,533.52x = 1,242,328,769.28
  5. Step 5: Solve for x
    x = 1,242,328,769.28/39,533.52
  6. Step 6: Final answer
    x = 31,424.69

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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.