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Finding the Fourth Proportional to 82,629.67, 114,019.67 and 46,812.01

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Solution

The fourth proportional to 82,629.67, 114,019.67 and 46,812.01 is: 64,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,629.67 : 114,019.67 = 46,812.01 : x
  2. Step 2: Convert to fraction form
    82,629.67/114,019.67 = 46,812.01/x
  3. Step 3: Cross multiply
    82,629.67x = 114,019.67 × 46,812.01
  4. Step 4: Simplify right side
    82,629.67x = 5,337,489,128.08
  5. Step 5: Solve for x
    x = 5,337,489,128.08/82,629.67
  6. Step 6: Final answer
    x = 64,595.31

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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.