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Finding the Fourth Proportional to 50,102.59, 75,155.10 and 16,823.74

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Solution

The fourth proportional to 50,102.59, 75,155.10 and 16,823.74 is: 25,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.59 : 75,155.10 = 16,823.74 : x
  2. Step 2: Convert to fraction form
    50,102.59/75,155.10 = 16,823.74/x
  3. Step 3: Cross multiply
    50,102.59x = 75,155.10 × 16,823.74
  4. Step 4: Simplify right side
    50,102.59x = 1,264,389,862.07
  5. Step 5: Solve for x
    x = 1,264,389,862.07/50,102.59
  6. Step 6: Final answer
    x = 25,236.02

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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.