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Finding the Fourth Proportional to 71,766.48, 108,323.80 and 71,766.48

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Solution

The fourth proportional to 71,766.48, 108,323.80 and 71,766.48 is: 108,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.48 : 108,323.80 = 71,766.48 : x
  2. Step 2: Convert to fraction form
    71,766.48/108,323.80 = 71,766.48/x
  3. Step 3: Cross multiply
    71,766.48x = 108,323.80 × 71,766.48
  4. Step 4: Simplify right side
    71,766.48x = 7,774,017,826.22
  5. Step 5: Solve for x
    x = 7,774,017,826.22/71,766.48
  6. Step 6: Final answer
    x = 108,323.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.