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Finding the Fourth Proportional to 67,169, 92,693.76 and 37,361

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Solution

The fourth proportional to 67,169, 92,693.76 and 37,361 is: 51,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,169 : 92,693.76 = 37,361 : x
  2. Step 2: Convert to fraction form
    67,169/92,693.76 = 37,361/x
  3. Step 3: Cross multiply
    67,169x = 92,693.76 × 37,361
  4. Step 4: Simplify right side
    67,169x = 3,463,131,567.36
  5. Step 5: Solve for x
    x = 3,463,131,567.36/67,169
  6. Step 6: Final answer
    x = 51,558.48

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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.