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Finding the Fourth Proportional to 53,777.08, 74,205.36 and 29,899

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Solution

The fourth proportional to 53,777.08, 74,205.36 and 29,899 is: 41,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,777.08 : 74,205.36 = 29,899 : x
  2. Step 2: Convert to fraction form
    53,777.08/74,205.36 = 29,899/x
  3. Step 3: Cross multiply
    53,777.08x = 74,205.36 × 29,899
  4. Step 4: Simplify right side
    53,777.08x = 2,218,666,058.64
  5. Step 5: Solve for x
    x = 2,218,666,058.64/53,777.08
  6. Step 6: Final answer
    x = 41,256.72

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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.