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Finding the Fourth Proportional to 53,884, 74,361.36 and 30,011.68

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Solution

The fourth proportional to 53,884, 74,361.36 and 30,011.68 is: 41,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884 : 74,361.36 = 30,011.68 : x
  2. Step 2: Convert to fraction form
    53,884/74,361.36 = 30,011.68/x
  3. Step 3: Cross multiply
    53,884x = 74,361.36 × 30,011.68
  4. Step 4: Simplify right side
    53,884x = 2,231,709,340.68
  5. Step 5: Solve for x
    x = 2,231,709,340.68/53,884
  6. Step 6: Final answer
    x = 41,416.92

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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.