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Finding the Fourth Proportional to 81,973.76, 113,124.21 and 46,164.38

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Solution

The fourth proportional to 81,973.76, 113,124.21 and 46,164.38 is: 63,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.76 : 113,124.21 = 46,164.38 : x
  2. Step 2: Convert to fraction form
    81,973.76/113,124.21 = 46,164.38/x
  3. Step 3: Cross multiply
    81,973.76x = 113,124.21 × 46,164.38
  4. Step 4: Simplify right side
    81,973.76x = 5,222,309,127.33
  5. Step 5: Solve for x
    x = 5,222,309,127.33/81,973.76
  6. Step 6: Final answer
    x = 63,707.08

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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.