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Finding the Fourth Proportional to 23,527, 35,290.50 and 7,111

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Solution

The fourth proportional to 23,527, 35,290.50 and 7,111 is: 10,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527 : 35,290.50 = 7,111 : x
  2. Step 2: Convert to fraction form
    23,527/35,290.50 = 7,111/x
  3. Step 3: Cross multiply
    23,527x = 35,290.50 × 7,111
  4. Step 4: Simplify right side
    23,527x = 250,950,745.50
  5. Step 5: Solve for x
    x = 250,950,745.50/23,527
  6. Step 6: Final answer
    x = 10,666.50

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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.