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Finding the Fourth Proportional to 56,017.32, 84,039.03 and 24,855

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Solution

The fourth proportional to 56,017.32, 84,039.03 and 24,855 is: 37,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,017.32 : 84,039.03 = 24,855 : x
  2. Step 2: Convert to fraction form
    56,017.32/84,039.03 = 24,855/x
  3. Step 3: Cross multiply
    56,017.32x = 84,039.03 × 24,855
  4. Step 4: Simplify right side
    56,017.32x = 2,088,790,090.65
  5. Step 5: Solve for x
    x = 2,088,790,090.65/56,017.32
  6. Step 6: Final answer
    x = 37,288.29

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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.