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Finding the Fourth Proportional to 31,108, 42,929.04 and 19,930

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Solution

The fourth proportional to 31,108, 42,929.04 and 19,930 is: 27,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 42,929.04 = 19,930 : x
  2. Step 2: Convert to fraction form
    31,108/42,929.04 = 19,930/x
  3. Step 3: Cross multiply
    31,108x = 42,929.04 × 19,930
  4. Step 4: Simplify right side
    31,108x = 855,575,767.20
  5. Step 5: Solve for x
    x = 855,575,767.20/31,108
  6. Step 6: Final answer
    x = 27,503.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.