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Finding the Fourth Proportional to 49,169, 67,854.04 and 26,813

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Solution

The fourth proportional to 49,169, 67,854.04 and 26,813 is: 37,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169 : 67,854.04 = 26,813 : x
  2. Step 2: Convert to fraction form
    49,169/67,854.04 = 26,813/x
  3. Step 3: Cross multiply
    49,169x = 67,854.04 × 26,813
  4. Step 4: Simplify right side
    49,169x = 1,819,370,374.52
  5. Step 5: Solve for x
    x = 1,819,370,374.52/49,169
  6. Step 6: Final answer
    x = 37,002.39

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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.