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Finding the Fourth Proportional to 82,462.70, 113,792.23 and 46,655.00

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Solution

The fourth proportional to 82,462.70, 113,792.23 and 46,655.00 is: 64,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.70 : 113,792.23 = 46,655.00 : x
  2. Step 2: Convert to fraction form
    82,462.70/113,792.23 = 46,655.00/x
  3. Step 3: Cross multiply
    82,462.70x = 113,792.23 × 46,655.00
  4. Step 4: Simplify right side
    82,462.70x = 5,308,975,805.05
  5. Step 5: Solve for x
    x = 5,308,975,805.05/82,462.70
  6. Step 6: Final answer
    x = 64,380.33

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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.