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Finding the Fourth Proportional to 56,913.38, 78,548.39 and 31,764.50

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Solution

The fourth proportional to 56,913.38, 78,548.39 and 31,764.50 is: 43,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,913.38 : 78,548.39 = 31,764.50 : x
  2. Step 2: Convert to fraction form
    56,913.38/78,548.39 = 31,764.50/x
  3. Step 3: Cross multiply
    56,913.38x = 78,548.39 × 31,764.50
  4. Step 4: Simplify right side
    56,913.38x = 2,495,050,334.16
  5. Step 5: Solve for x
    x = 2,495,050,334.16/56,913.38
  6. Step 6: Final answer
    x = 43,839.43

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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.