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Finding the Fourth Proportional to 82,410.01, 113,728.05 and 46,605.38

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Solution

The fourth proportional to 82,410.01, 113,728.05 and 46,605.38 is: 64,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,410.01 : 113,728.05 = 46,605.38 : x
  2. Step 2: Convert to fraction form
    82,410.01/113,728.05 = 46,605.38/x
  3. Step 3: Cross multiply
    82,410.01x = 113,728.05 × 46,605.38
  4. Step 4: Simplify right side
    82,410.01x = 5,300,338,418.27
  5. Step 5: Solve for x
    x = 5,300,338,418.27/82,410.01
  6. Step 6: Final answer
    x = 64,316.68

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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.