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Finding the Fourth Proportional to 27,878.40, 41,803.76 and 10,108.35

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Solution

The fourth proportional to 27,878.40, 41,803.76 and 10,108.35 is: 15,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.40 : 41,803.76 = 10,108.35 : x
  2. Step 2: Convert to fraction form
    27,878.40/41,803.76 = 10,108.35/x
  3. Step 3: Cross multiply
    27,878.40x = 41,803.76 × 10,108.35
  4. Step 4: Simplify right side
    27,878.40x = 422,567,062.67
  5. Step 5: Solve for x
    x = 422,567,062.67/27,878.40
  6. Step 6: Final answer
    x = 15,157.51

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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.