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Finding the Fourth Proportional to 36,506.57, 54,746.48 and 17,780.99

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Solution

The fourth proportional to 36,506.57, 54,746.48 and 17,780.99 is: 26,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.57 : 54,746.48 = 17,780.99 : x
  2. Step 2: Convert to fraction form
    36,506.57/54,746.48 = 17,780.99/x
  3. Step 3: Cross multiply
    36,506.57x = 54,746.48 × 17,780.99
  4. Step 4: Simplify right side
    36,506.57x = 973,446,384.14
  5. Step 5: Solve for x
    x = 973,446,384.14/36,506.57
  6. Step 6: Final answer
    x = 26,664.97

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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.