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Finding the Fourth Proportional to 105,021.30, 157,531.62 and 26,135.58

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Solution

The fourth proportional to 105,021.30, 157,531.62 and 26,135.58 is: 39,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,021.30 : 157,531.62 = 26,135.58 : x
  2. Step 2: Convert to fraction form
    105,021.30/157,531.62 = 26,135.58/x
  3. Step 3: Cross multiply
    105,021.30x = 157,531.62 × 26,135.58
  4. Step 4: Simplify right side
    105,021.30x = 4,117,180,257.04
  5. Step 5: Solve for x
    x = 4,117,180,257.04/105,021.30
  6. Step 6: Final answer
    x = 39,203.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.