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Finding the Fourth Proportional to 53,085.39, 73,256 and 29,209.83

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Solution

The fourth proportional to 53,085.39, 73,256 and 29,209.83 is: 40,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,085.39 : 73,256 = 29,209.83 : x
  2. Step 2: Convert to fraction form
    53,085.39/73,256 = 29,209.83/x
  3. Step 3: Cross multiply
    53,085.39x = 73,256 × 29,209.83
  4. Step 4: Simplify right side
    53,085.39x = 2,139,795,306.48
  5. Step 5: Solve for x
    x = 2,139,795,306.48/53,085.39
  6. Step 6: Final answer
    x = 40,308.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.