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Finding the Fourth Proportional to 83,173.95, 114,779.93 and 47,363.97

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Solution

The fourth proportional to 83,173.95, 114,779.93 and 47,363.97 is: 65,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,173.95 : 114,779.93 = 47,363.97 : x
  2. Step 2: Convert to fraction form
    83,173.95/114,779.93 = 47,363.97/x
  3. Step 3: Cross multiply
    83,173.95x = 114,779.93 × 47,363.97
  4. Step 4: Simplify right side
    83,173.95x = 5,436,433,354.73
  5. Step 5: Solve for x
    x = 5,436,433,354.73/83,173.95
  6. Step 6: Final answer
    x = 65,362.21

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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.