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Finding the Fourth Proportional to 85,706.52, 118,285.56 and 51,734.52

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Solution

The fourth proportional to 85,706.52, 118,285.56 and 51,734.52 is: 71,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,706.52 : 118,285.56 = 51,734.52 : x
  2. Step 2: Convert to fraction form
    85,706.52/118,285.56 = 51,734.52/x
  3. Step 3: Cross multiply
    85,706.52x = 118,285.56 × 51,734.52
  4. Step 4: Simplify right side
    85,706.52x = 6,119,446,669.53
  5. Step 5: Solve for x
    x = 6,119,446,669.53/85,706.52
  6. Step 6: Final answer
    x = 71,400.01

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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.