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Finding the Fourth Proportional to 53,653.90, 74,034.50 and 29,780.76

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Solution

The fourth proportional to 53,653.90, 74,034.50 and 29,780.76 is: 41,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653.90 : 74,034.50 = 29,780.76 : x
  2. Step 2: Convert to fraction form
    53,653.90/74,034.50 = 29,780.76/x
  3. Step 3: Cross multiply
    53,653.90x = 74,034.50 × 29,780.76
  4. Step 4: Simplify right side
    53,653.90x = 2,204,803,676.22
  5. Step 5: Solve for x
    x = 2,204,803,676.22/53,653.90
  6. Step 6: Final answer
    x = 41,093.07

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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.