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Finding the Fourth Proportional to 91,843.24, 137,779.26 and 39,253

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Solution

The fourth proportional to 91,843.24, 137,779.26 and 39,253 is: 58,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,843.24 : 137,779.26 = 39,253 : x
  2. Step 2: Convert to fraction form
    91,843.24/137,779.26 = 39,253/x
  3. Step 3: Cross multiply
    91,843.24x = 137,779.26 × 39,253
  4. Step 4: Simplify right side
    91,843.24x = 5,408,249,292.78
  5. Step 5: Solve for x
    x = 5,408,249,292.78/91,843.24
  6. Step 6: Final answer
    x = 58,885.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.