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Finding the Fourth Proportional to 53,152.84, 73,348.24 and 29,279

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Solution

The fourth proportional to 53,152.84, 73,348.24 and 29,279 is: 40,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,152.84 : 73,348.24 = 29,279 : x
  2. Step 2: Convert to fraction form
    53,152.84/73,348.24 = 29,279/x
  3. Step 3: Cross multiply
    53,152.84x = 73,348.24 × 29,279
  4. Step 4: Simplify right side
    53,152.84x = 2,147,563,118.96
  5. Step 5: Solve for x
    x = 2,147,563,118.96/53,152.84
  6. Step 6: Final answer
    x = 40,403.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.