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Finding the Fourth Proportional to 84,114.24, 116,091 and 50,580.24

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Solution

The fourth proportional to 84,114.24, 116,091 and 50,580.24 is: 69,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.24 : 116,091 = 50,580.24 : x
  2. Step 2: Convert to fraction form
    84,114.24/116,091 = 50,580.24/x
  3. Step 3: Cross multiply
    84,114.24x = 116,091 × 50,580.24
  4. Step 4: Simplify right side
    84,114.24x = 5,871,910,641.84
  5. Step 5: Solve for x
    x = 5,871,910,641.84/84,114.24
  6. Step 6: Final answer
    x = 69,808.76

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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.