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Finding the Fourth Proportional to 55,971.96, 77,109.89 and 38,946.96

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Solution

The fourth proportional to 55,971.96, 77,109.89 and 38,946.96 is: 53,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971.96 : 77,109.89 = 38,946.96 : x
  2. Step 2: Convert to fraction form
    55,971.96/77,109.89 = 38,946.96/x
  3. Step 3: Cross multiply
    55,971.96x = 77,109.89 × 38,946.96
  4. Step 4: Simplify right side
    55,971.96x = 3,003,195,801.43
  5. Step 5: Solve for x
    x = 3,003,195,801.43/55,971.96
  6. Step 6: Final answer
    x = 53,655.36

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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.