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Finding the Fourth Proportional to 84,684.93, 126,916.65 and 34,706.51

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Solution

The fourth proportional to 84,684.93, 126,916.65 and 34,706.51 is: 52,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684.93 : 126,916.65 = 34,706.51 : x
  2. Step 2: Convert to fraction form
    84,684.93/126,916.65 = 34,706.51/x
  3. Step 3: Cross multiply
    84,684.93x = 126,916.65 × 34,706.51
  4. Step 4: Simplify right side
    84,684.93x = 4,404,833,982.39
  5. Step 5: Solve for x
    x = 4,404,833,982.39/84,684.93
  6. Step 6: Final answer
    x = 52,014.38

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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.