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Finding the Fourth Proportional to 48,407.94, 72,619.30 and 24,702.56

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Solution

The fourth proportional to 48,407.94, 72,619.30 and 24,702.56 is: 37,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.94 : 72,619.30 = 24,702.56 : x
  2. Step 2: Convert to fraction form
    48,407.94/72,619.30 = 24,702.56/x
  3. Step 3: Cross multiply
    48,407.94x = 72,619.30 × 24,702.56
  4. Step 4: Simplify right side
    48,407.94x = 1,793,882,615.41
  5. Step 5: Solve for x
    x = 1,793,882,615.41/48,407.94
  6. Step 6: Final answer
    x = 37,057.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.