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Finding the Fourth Proportional to 84,446.96, 126,683.40 and 29,030

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Solution

The fourth proportional to 84,446.96, 126,683.40 and 29,030 is: 43,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,446.96 : 126,683.40 = 29,030 : x
  2. Step 2: Convert to fraction form
    84,446.96/126,683.40 = 29,030/x
  3. Step 3: Cross multiply
    84,446.96x = 126,683.40 × 29,030
  4. Step 4: Simplify right side
    84,446.96x = 3,677,619,102
  5. Step 5: Solve for x
    x = 3,677,619,102/84,446.96
  6. Step 6: Final answer
    x = 43,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.