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Finding the Fourth Proportional to 72,576.40, 100,148.52 and 40,738

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Solution

The fourth proportional to 72,576.40, 100,148.52 and 40,738 is: 56,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,576.40 : 100,148.52 = 40,738 : x
  2. Step 2: Convert to fraction form
    72,576.40/100,148.52 = 40,738/x
  3. Step 3: Cross multiply
    72,576.40x = 100,148.52 × 40,738
  4. Step 4: Simplify right side
    72,576.40x = 4,079,850,407.76
  5. Step 5: Solve for x
    x = 4,079,850,407.76/72,576.40
  6. Step 6: Final answer
    x = 56,214.56

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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.