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Finding the Fourth Proportional to 30,849, 46,281.66 and 17,706

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Solution

The fourth proportional to 30,849, 46,281.66 and 17,706 is: 26,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849 : 46,281.66 = 17,706 : x
  2. Step 2: Convert to fraction form
    30,849/46,281.66 = 17,706/x
  3. Step 3: Cross multiply
    30,849x = 46,281.66 × 17,706
  4. Step 4: Simplify right side
    30,849x = 819,463,071.96
  5. Step 5: Solve for x
    x = 819,463,071.96/30,849
  6. Step 6: Final answer
    x = 26,563.68

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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.