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Finding the Fourth Proportional to 53,854.46, 74,321.58 and 29,982.63

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Solution

The fourth proportional to 53,854.46, 74,321.58 and 29,982.63 is: 41,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.46 : 74,321.58 = 29,982.63 : x
  2. Step 2: Convert to fraction form
    53,854.46/74,321.58 = 29,982.63/x
  3. Step 3: Cross multiply
    53,854.46x = 74,321.58 × 29,982.63
  4. Step 4: Simplify right side
    53,854.46x = 2,228,356,434.16
  5. Step 5: Solve for x
    x = 2,228,356,434.16/53,854.46
  6. Step 6: Final answer
    x = 41,377.38

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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.