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Finding the Fourth Proportional to 43,406.81, 65,435.56 and 40,513.47

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Solution

The fourth proportional to 43,406.81, 65,435.56 and 40,513.47 is: 61,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406.81 : 65,435.56 = 40,513.47 : x
  2. Step 2: Convert to fraction form
    43,406.81/65,435.56 = 40,513.47/x
  3. Step 3: Cross multiply
    43,406.81x = 65,435.56 × 40,513.47
  4. Step 4: Simplify right side
    43,406.81x = 2,651,021,332.12
  5. Step 5: Solve for x
    x = 2,651,021,332.12/43,406.81
  6. Step 6: Final answer
    x = 61,073.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.