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Finding the Fourth Proportional to 71,423.04, 98,563.02 and 41,208

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Solution

The fourth proportional to 71,423.04, 98,563.02 and 41,208 is: 56,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,423.04 : 98,563.02 = 41,208 : x
  2. Step 2: Convert to fraction form
    71,423.04/98,563.02 = 41,208/x
  3. Step 3: Cross multiply
    71,423.04x = 98,563.02 × 41,208
  4. Step 4: Simplify right side
    71,423.04x = 4,061,584,928.16
  5. Step 5: Solve for x
    x = 4,061,584,928.16/71,423.04
  6. Step 6: Final answer
    x = 56,866.59

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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.