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Finding the Fourth Proportional to 39,779.40, 54,894.76 and 21,874.10

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Solution

The fourth proportional to 39,779.40, 54,894.76 and 21,874.10 is: 30,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,779.40 : 54,894.76 = 21,874.10 : x
  2. Step 2: Convert to fraction form
    39,779.40/54,894.76 = 21,874.10/x
  3. Step 3: Cross multiply
    39,779.40x = 54,894.76 × 21,874.10
  4. Step 4: Simplify right side
    39,779.40x = 1,200,773,572.38
  5. Step 5: Solve for x
    x = 1,200,773,572.38/39,779.40
  6. Step 6: Final answer
    x = 30,185.81

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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.