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Finding the Fourth Proportional to 57,878.70, 79,881.84 and 34,011.24

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Solution

The fourth proportional to 57,878.70, 79,881.84 and 34,011.24 is: 46,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.70 : 79,881.84 = 34,011.24 : x
  2. Step 2: Convert to fraction form
    57,878.70/79,881.84 = 34,011.24/x
  3. Step 3: Cross multiply
    57,878.70x = 79,881.84 × 34,011.24
  4. Step 4: Simplify right side
    57,878.70x = 2,716,880,431.88
  5. Step 5: Solve for x
    x = 2,716,880,431.88/57,878.70
  6. Step 6: Final answer
    x = 46,940.94

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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.