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Finding the Fourth Proportional to 77,534.01, 116,301.42 and 30,786.89

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Solution

The fourth proportional to 77,534.01, 116,301.42 and 30,786.89 is: 46,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534.01 : 116,301.42 = 30,786.89 : x
  2. Step 2: Convert to fraction form
    77,534.01/116,301.42 = 30,786.89/x
  3. Step 3: Cross multiply
    77,534.01x = 116,301.42 × 30,786.89
  4. Step 4: Simplify right side
    77,534.01x = 3,580,558,442.88
  5. Step 5: Solve for x
    x = 3,580,558,442.88/77,534.01
  6. Step 6: Final answer
    x = 46,180.49

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