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Finding the Fourth Proportional to 53,846.63, 74,307.12 and 33,714.61

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Solution

The fourth proportional to 53,846.63, 74,307.12 and 33,714.61 is: 46,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846.63 : 74,307.12 = 33,714.61 : x
  2. Step 2: Convert to fraction form
    53,846.63/74,307.12 = 33,714.61/x
  3. Step 3: Cross multiply
    53,846.63x = 74,307.12 × 33,714.61
  4. Step 4: Simplify right side
    53,846.63x = 2,505,235,402.45
  5. Step 5: Solve for x
    x = 2,505,235,402.45/53,846.63
  6. Step 6: Final answer
    x = 46,525.39

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Why These Related Problems?

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