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Finding the Fourth Proportional to 57,176.94, 78,904.18 and 34,820.94

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Solution

The fourth proportional to 57,176.94, 78,904.18 and 34,820.94 is: 48,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,176.94 : 78,904.18 = 34,820.94 : x
  2. Step 2: Convert to fraction form
    57,176.94/78,904.18 = 34,820.94/x
  3. Step 3: Cross multiply
    57,176.94x = 78,904.18 × 34,820.94
  4. Step 4: Simplify right side
    57,176.94x = 2,747,517,717.53
  5. Step 5: Solve for x
    x = 2,747,517,717.53/57,176.94
  6. Step 6: Final answer
    x = 48,052.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.