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Finding the Fourth Proportional to 32,458.70, 48,688.05 and 12,737.90

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Solution

The fourth proportional to 32,458.70, 48,688.05 and 12,737.90 is: 19,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.70 : 48,688.05 = 12,737.90 : x
  2. Step 2: Convert to fraction form
    32,458.70/48,688.05 = 12,737.90/x
  3. Step 3: Cross multiply
    32,458.70x = 48,688.05 × 12,737.90
  4. Step 4: Simplify right side
    32,458.70x = 620,183,512.10
  5. Step 5: Solve for x
    x = 620,183,512.10/32,458.70
  6. Step 6: Final answer
    x = 19,106.85

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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.