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Finding the Fourth Proportional to 32,289.76, 48,152.10 and 31,994.52

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Solution

The fourth proportional to 32,289.76, 48,152.10 and 31,994.52 is: 47,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.76 : 48,152.10 = 31,994.52 : x
  2. Step 2: Convert to fraction form
    32,289.76/48,152.10 = 31,994.52/x
  3. Step 3: Cross multiply
    32,289.76x = 48,152.10 × 31,994.52
  4. Step 4: Simplify right side
    32,289.76x = 1,540,603,326.49
  5. Step 5: Solve for x
    x = 1,540,603,326.49/32,289.76
  6. Step 6: Final answer
    x = 47,711.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.