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Finding the Fourth Proportional to 75,573.76, 104,272.90 and 48,683.92

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Solution

The fourth proportional to 75,573.76, 104,272.90 and 48,683.92 is: 67,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573.76 : 104,272.90 = 48,683.92 : x
  2. Step 2: Convert to fraction form
    75,573.76/104,272.90 = 48,683.92/x
  3. Step 3: Cross multiply
    75,573.76x = 104,272.90 × 48,683.92
  4. Step 4: Simplify right side
    75,573.76x = 5,076,413,521.77
  5. Step 5: Solve for x
    x = 5,076,413,521.77/75,573.76
  6. Step 6: Final answer
    x = 67,171.64

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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.