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Finding the Fourth Proportional to 84,230.83, 116,100.12 and 59,710

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Solution

The fourth proportional to 84,230.83, 116,100.12 and 59,710 is: 82,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,230.83 : 116,100.12 = 59,710 : x
  2. Step 2: Convert to fraction form
    84,230.83/116,100.12 = 59,710/x
  3. Step 3: Cross multiply
    84,230.83x = 116,100.12 × 59,710
  4. Step 4: Simplify right side
    84,230.83x = 6,932,338,165.20
  5. Step 5: Solve for x
    x = 6,932,338,165.20/84,230.83
  6. Step 6: Final answer
    x = 82,301.67

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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.