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Finding the Fourth Proportional to 81,283, 121,813.80 and 45,761.26

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Solution

The fourth proportional to 81,283, 121,813.80 and 45,761.26 is: 68,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,283 : 121,813.80 = 45,761.26 : x
  2. Step 2: Convert to fraction form
    81,283/121,813.80 = 45,761.26/x
  3. Step 3: Cross multiply
    81,283x = 121,813.80 × 45,761.26
  4. Step 4: Simplify right side
    81,283x = 5,574,352,973.39
  5. Step 5: Solve for x
    x = 5,574,352,973.39/81,283
  6. Step 6: Final answer
    x = 68,579.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.