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Finding the Fourth Proportional to 67,419.10, 93,034.42 and 37,204.34

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Solution

The fourth proportional to 67,419.10, 93,034.42 and 37,204.34 is: 51,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,419.10 : 93,034.42 = 37,204.34 : x
  2. Step 2: Convert to fraction form
    67,419.10/93,034.42 = 37,204.34/x
  3. Step 3: Cross multiply
    67,419.10x = 93,034.42 × 37,204.34
  4. Step 4: Simplify right side
    67,419.10x = 3,461,284,193.38
  5. Step 5: Solve for x
    x = 3,461,284,193.38/67,419.10
  6. Step 6: Final answer
    x = 51,339.82

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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.