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Finding the Fourth Proportional to 57,178.58, 78,895.82 and 32,028.08

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Solution

The fourth proportional to 57,178.58, 78,895.82 and 32,028.08 is: 44,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.58 : 78,895.82 = 32,028.08 : x
  2. Step 2: Convert to fraction form
    57,178.58/78,895.82 = 32,028.08/x
  3. Step 3: Cross multiply
    57,178.58x = 78,895.82 × 32,028.08
  4. Step 4: Simplify right side
    57,178.58x = 2,526,881,634.63
  5. Step 5: Solve for x
    x = 2,526,881,634.63/57,178.58
  6. Step 6: Final answer
    x = 44,192.80

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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.