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Finding the Fourth Proportional to 35,878.86, 49,535.10 and 23,138.28

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Solution

The fourth proportional to 35,878.86, 49,535.10 and 23,138.28 is: 31,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.86 : 49,535.10 = 23,138.28 : x
  2. Step 2: Convert to fraction form
    35,878.86/49,535.10 = 23,138.28/x
  3. Step 3: Cross multiply
    35,878.86x = 49,535.10 × 23,138.28
  4. Step 4: Simplify right side
    35,878.86x = 1,146,157,013.63
  5. Step 5: Solve for x
    x = 1,146,157,013.63/35,878.86
  6. Step 6: Final answer
    x = 31,945.19

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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.