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Finding the Fourth Proportional to 84,556.48, 116,688.80 and 51,016

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Solution

The fourth proportional to 84,556.48, 116,688.80 and 51,016 is: 70,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,556.48 : 116,688.80 = 51,016 : x
  2. Step 2: Convert to fraction form
    84,556.48/116,688.80 = 51,016/x
  3. Step 3: Cross multiply
    84,556.48x = 116,688.80 × 51,016
  4. Step 4: Simplify right side
    84,556.48x = 5,952,995,820.80
  5. Step 5: Solve for x
    x = 5,952,995,820.80/84,556.48
  6. Step 6: Final answer
    x = 70,402.60

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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.