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Finding the Fourth Proportional to 43,407.79, 65,111.01 and 13,825.38

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Solution

The fourth proportional to 43,407.79, 65,111.01 and 13,825.38 is: 20,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.79 : 65,111.01 = 13,825.38 : x
  2. Step 2: Convert to fraction form
    43,407.79/65,111.01 = 13,825.38/x
  3. Step 3: Cross multiply
    43,407.79x = 65,111.01 × 13,825.38
  4. Step 4: Simplify right side
    43,407.79x = 900,184,344.50
  5. Step 5: Solve for x
    x = 900,184,344.50/43,407.79
  6. Step 6: Final answer
    x = 20,737.85

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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.