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Finding the Fourth Proportional to 55,383.60, 76,421.76 and 31,505.76

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Solution

The fourth proportional to 55,383.60, 76,421.76 and 31,505.76 is: 43,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.60 : 76,421.76 = 31,505.76 : x
  2. Step 2: Convert to fraction form
    55,383.60/76,421.76 = 31,505.76/x
  3. Step 3: Cross multiply
    55,383.60x = 76,421.76 × 31,505.76
  4. Step 4: Simplify right side
    55,383.60x = 2,407,725,629.34
  5. Step 5: Solve for x
    x = 2,407,725,629.34/55,383.60
  6. Step 6: Final answer
    x = 43,473.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.