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Finding the Fourth Proportional to 53,731.64, 74,128 and 32,474

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Solution

The fourth proportional to 53,731.64, 74,128 and 32,474 is: 44,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,731.64 : 74,128 = 32,474 : x
  2. Step 2: Convert to fraction form
    53,731.64/74,128 = 32,474/x
  3. Step 3: Cross multiply
    53,731.64x = 74,128 × 32,474
  4. Step 4: Simplify right side
    53,731.64x = 2,407,232,672
  5. Step 5: Solve for x
    x = 2,407,232,672/53,731.64
  6. Step 6: Final answer
    x = 44,801.03

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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.