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Finding the Fourth Proportional to 53,846.57, 74,307.02 and 33,714.55

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Solution

The fourth proportional to 53,846.57, 74,307.02 and 33,714.55 is: 46,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846.57 : 74,307.02 = 33,714.55 : x
  2. Step 2: Convert to fraction form
    53,846.57/74,307.02 = 33,714.55/x
  3. Step 3: Cross multiply
    53,846.57x = 74,307.02 × 33,714.55
  4. Step 4: Simplify right side
    53,846.57x = 2,505,227,741.14
  5. Step 5: Solve for x
    x = 2,505,227,741.14/53,846.57
  6. Step 6: Final answer
    x = 46,525.30

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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.