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Finding the Fourth Proportional to 53,832.38, 74,281.32 and 29,955.78

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Solution

The fourth proportional to 53,832.38, 74,281.32 and 29,955.78 is: 41,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832.38 : 74,281.32 = 29,955.78 : x
  2. Step 2: Convert to fraction form
    53,832.38/74,281.32 = 29,955.78/x
  3. Step 3: Cross multiply
    53,832.38x = 74,281.32 × 29,955.78
  4. Step 4: Simplify right side
    53,832.38x = 2,225,154,880.03
  5. Step 5: Solve for x
    x = 2,225,154,880.03/53,832.38
  6. Step 6: Final answer
    x = 41,334.88

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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.