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Finding the Fourth Proportional to 82,420.84, 113,743.24 and 46,610.13

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Solution

The fourth proportional to 82,420.84, 113,743.24 and 46,610.13 is: 64,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.84 : 113,743.24 = 46,610.13 : x
  2. Step 2: Convert to fraction form
    82,420.84/113,743.24 = 46,610.13/x
  3. Step 3: Cross multiply
    82,420.84x = 113,743.24 × 46,610.13
  4. Step 4: Simplify right side
    82,420.84x = 5,301,587,513.03
  5. Step 5: Solve for x
    x = 5,301,587,513.03/82,420.84
  6. Step 6: Final answer
    x = 64,323.39

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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.