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Finding the Fourth Proportional to 53,046.64, 73,209.36 and 30,381.13

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Solution

The fourth proportional to 53,046.64, 73,209.36 and 30,381.13 is: 41,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046.64 : 73,209.36 = 30,381.13 : x
  2. Step 2: Convert to fraction form
    53,046.64/73,209.36 = 30,381.13/x
  3. Step 3: Cross multiply
    53,046.64x = 73,209.36 × 30,381.13
  4. Step 4: Simplify right side
    53,046.64x = 2,224,183,083.38
  5. Step 5: Solve for x
    x = 2,224,183,083.38/53,046.64
  6. Step 6: Final answer
    x = 41,928.82

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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.