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Finding the Fourth Proportional to 82,133.53, 113,344.11 and 46,323.43

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Solution

The fourth proportional to 82,133.53, 113,344.11 and 46,323.43 is: 63,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.53 : 113,344.11 = 46,323.43 : x
  2. Step 2: Convert to fraction form
    82,133.53/113,344.11 = 46,323.43/x
  3. Step 3: Cross multiply
    82,133.53x = 113,344.11 × 46,323.43
  4. Step 4: Simplify right side
    82,133.53x = 5,250,487,945.50
  5. Step 5: Solve for x
    x = 5,250,487,945.50/82,133.53
  6. Step 6: Final answer
    x = 63,926.24

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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.