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Finding the Fourth Proportional to 84,114, 116,077.32 and 50,580

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Solution

The fourth proportional to 84,114, 116,077.32 and 50,580 is: 69,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114 : 116,077.32 = 50,580 : x
  2. Step 2: Convert to fraction form
    84,114/116,077.32 = 50,580/x
  3. Step 3: Cross multiply
    84,114x = 116,077.32 × 50,580
  4. Step 4: Simplify right side
    84,114x = 5,871,190,845.60
  5. Step 5: Solve for x
    x = 5,871,190,845.60/84,114
  6. Step 6: Final answer
    x = 69,800.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.