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Finding the Fourth Proportional to 84,465.54, 126,445.90 and 51,084.63

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Solution

The fourth proportional to 84,465.54, 126,445.90 and 51,084.63 is: 76,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,465.54 : 126,445.90 = 51,084.63 : x
  2. Step 2: Convert to fraction form
    84,465.54/126,445.90 = 51,084.63/x
  3. Step 3: Cross multiply
    84,465.54x = 126,445.90 × 51,084.63
  4. Step 4: Simplify right side
    84,465.54x = 6,459,442,016.52
  5. Step 5: Solve for x
    x = 6,459,442,016.52/84,465.54
  6. Step 6: Final answer
    x = 76,474.29

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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.