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Finding the Fourth Proportional to 53,861.64, 74,327.76 and 29,987.82

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Solution

The fourth proportional to 53,861.64, 74,327.76 and 29,987.82 is: 41,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,861.64 : 74,327.76 = 29,987.82 : x
  2. Step 2: Convert to fraction form
    53,861.64/74,327.76 = 29,987.82/x
  3. Step 3: Cross multiply
    53,861.64x = 74,327.76 × 29,987.82
  4. Step 4: Simplify right side
    53,861.64x = 2,228,927,487.88
  5. Step 5: Solve for x
    x = 2,228,927,487.88/53,861.64
  6. Step 6: Final answer
    x = 41,382.47

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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.