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Finding the Fourth Proportional to 57,112.84, 78,818.30 and 31,962.34

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Solution

The fourth proportional to 57,112.84, 78,818.30 and 31,962.34 is: 44,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.84 : 78,818.30 = 31,962.34 : x
  2. Step 2: Convert to fraction form
    57,112.84/78,818.30 = 31,962.34/x
  3. Step 3: Cross multiply
    57,112.84x = 78,818.30 × 31,962.34
  4. Step 4: Simplify right side
    57,112.84x = 2,519,217,302.82
  5. Step 5: Solve for x
    x = 2,519,217,302.82/57,112.84
  6. Step 6: Final answer
    x = 44,109.47

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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.