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Finding the Fourth Proportional to 57,213.66, 78,962.58 and 33,347.82

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Solution

The fourth proportional to 57,213.66, 78,962.58 and 33,347.82 is: 46,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.66 : 78,962.58 = 33,347.82 : x
  2. Step 2: Convert to fraction form
    57,213.66/78,962.58 = 33,347.82/x
  3. Step 3: Cross multiply
    57,213.66x = 78,962.58 × 33,347.82
  4. Step 4: Simplify right side
    57,213.66x = 2,633,229,904.58
  5. Step 5: Solve for x
    x = 2,633,229,904.58/57,213.66
  6. Step 6: Final answer
    x = 46,024.50

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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.