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Finding the Fourth Proportional to 55,138, 76,090.80 and 29,987.68

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Solution

The fourth proportional to 55,138, 76,090.80 and 29,987.68 is: 41,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138 : 76,090.80 = 29,987.68 : x
  2. Step 2: Convert to fraction form
    55,138/76,090.80 = 29,987.68/x
  3. Step 3: Cross multiply
    55,138x = 76,090.80 × 29,987.68
  4. Step 4: Simplify right side
    55,138x = 2,281,786,561.34
  5. Step 5: Solve for x
    x = 2,281,786,561.34/55,138
  6. Step 6: Final answer
    x = 41,383.19

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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.