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Finding the Fourth Proportional to 81,322.80, 121,926.60 and 31,383.60

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Solution

The fourth proportional to 81,322.80, 121,926.60 and 31,383.60 is: 47,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,322.80 : 121,926.60 = 31,383.60 : x
  2. Step 2: Convert to fraction form
    81,322.80/121,926.60 = 31,383.60/x
  3. Step 3: Cross multiply
    81,322.80x = 121,926.60 × 31,383.60
  4. Step 4: Simplify right side
    81,322.80x = 3,826,495,643.76
  5. Step 5: Solve for x
    x = 3,826,495,643.76/81,322.80
  6. Step 6: Final answer
    x = 47,053.17

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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.