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Finding the Fourth Proportional to 84,998.56, 117,302.16 and 47,272

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Solution

The fourth proportional to 84,998.56, 117,302.16 and 47,272 is: 65,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,998.56 : 117,302.16 = 47,272 : x
  2. Step 2: Convert to fraction form
    84,998.56/117,302.16 = 47,272/x
  3. Step 3: Cross multiply
    84,998.56x = 117,302.16 × 47,272
  4. Step 4: Simplify right side
    84,998.56x = 5,545,107,707.52
  5. Step 5: Solve for x
    x = 5,545,107,707.52/84,998.56
  6. Step 6: Final answer
    x = 65,237.67

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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.