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Finding the Fourth Proportional to 36,574.58, 54,864 and 10,281.36

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Solution

The fourth proportional to 36,574.58, 54,864 and 10,281.36 is: 15,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,574.58 : 54,864 = 10,281.36 : x
  2. Step 2: Convert to fraction form
    36,574.58/54,864 = 10,281.36/x
  3. Step 3: Cross multiply
    36,574.58x = 54,864 × 10,281.36
  4. Step 4: Simplify right side
    36,574.58x = 564,076,535.04
  5. Step 5: Solve for x
    x = 564,076,535.04/36,574.58
  6. Step 6: Final answer
    x = 15,422.64

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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.