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Finding the Fourth Proportional to 54,830, 82,260.12 and 17,894

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Solution

The fourth proportional to 54,830, 82,260.12 and 17,894 is: 26,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830 : 82,260.12 = 17,894 : x
  2. Step 2: Convert to fraction form
    54,830/82,260.12 = 17,894/x
  3. Step 3: Cross multiply
    54,830x = 82,260.12 × 17,894
  4. Step 4: Simplify right side
    54,830x = 1,471,962,587.28
  5. Step 5: Solve for x
    x = 1,471,962,587.28/54,830
  6. Step 6: Final answer
    x = 26,845.93

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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.