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Finding the Fourth Proportional to 84,381.50, 116,542.14 and 57,477.36

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Solution

The fourth proportional to 84,381.50, 116,542.14 and 57,477.36 is: 79,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.50 : 116,542.14 = 57,477.36 : x
  2. Step 2: Convert to fraction form
    84,381.50/116,542.14 = 57,477.36/x
  3. Step 3: Cross multiply
    84,381.50x = 116,542.14 × 57,477.36
  4. Step 4: Simplify right side
    84,381.50x = 6,698,534,535.95
  5. Step 5: Solve for x
    x = 6,698,534,535.95/84,381.50
  6. Step 6: Final answer
    x = 79,383.92

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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.