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Finding the Fourth Proportional to 53,851.23, 74,313.05 and 29,977.29

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Solution

The fourth proportional to 53,851.23, 74,313.05 and 29,977.29 is: 41,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.23 : 74,313.05 = 29,977.29 : x
  2. Step 2: Convert to fraction form
    53,851.23/74,313.05 = 29,977.29/x
  3. Step 3: Cross multiply
    53,851.23x = 74,313.05 × 29,977.29
  4. Step 4: Simplify right side
    53,851.23x = 2,227,703,700.75
  5. Step 5: Solve for x
    x = 2,227,703,700.75/53,851.23
  6. Step 6: Final answer
    x = 41,367.74

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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.