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Finding the Fourth Proportional to 53,755.92, 74,182.50 and 29,881.98

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Solution

The fourth proportional to 53,755.92, 74,182.50 and 29,881.98 is: 41,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,755.92 : 74,182.50 = 29,881.98 : x
  2. Step 2: Convert to fraction form
    53,755.92/74,182.50 = 29,881.98/x
  3. Step 3: Cross multiply
    53,755.92x = 74,182.50 × 29,881.98
  4. Step 4: Simplify right side
    53,755.92x = 2,216,719,981.35
  5. Step 5: Solve for x
    x = 2,216,719,981.35/53,755.92
  6. Step 6: Final answer
    x = 41,236.76

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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.