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Finding the Fourth Proportional to 42,741, 58,981.50 and 23,878.26

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Solution

The fourth proportional to 42,741, 58,981.50 and 23,878.26 is: 32,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741 : 58,981.50 = 23,878.26 : x
  2. Step 2: Convert to fraction form
    42,741/58,981.50 = 23,878.26/x
  3. Step 3: Cross multiply
    42,741x = 58,981.50 × 23,878.26
  4. Step 4: Simplify right side
    42,741x = 1,408,375,592.19
  5. Step 5: Solve for x
    x = 1,408,375,592.19/42,741
  6. Step 6: Final answer
    x = 32,951.40

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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.