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Finding the Fourth Proportional to 19,623, 29,434.50 and 5,031

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Solution

The fourth proportional to 19,623, 29,434.50 and 5,031 is: 7,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,623 : 29,434.50 = 5,031 : x
  2. Step 2: Convert to fraction form
    19,623/29,434.50 = 5,031/x
  3. Step 3: Cross multiply
    19,623x = 29,434.50 × 5,031
  4. Step 4: Simplify right side
    19,623x = 148,084,969.50
  5. Step 5: Solve for x
    x = 148,084,969.50/19,623
  6. Step 6: Final answer
    x = 7,546.50

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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.