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Finding the Fourth Proportional to 32,657.30, 48,984.19 and 19,155.98

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Solution

The fourth proportional to 32,657.30, 48,984.19 and 19,155.98 is: 28,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.30 : 48,984.19 = 19,155.98 : x
  2. Step 2: Convert to fraction form
    32,657.30/48,984.19 = 19,155.98/x
  3. Step 3: Cross multiply
    32,657.30x = 48,984.19 × 19,155.98
  4. Step 4: Simplify right side
    32,657.30x = 938,340,163.96
  5. Step 5: Solve for x
    x = 938,340,163.96/32,657.30
  6. Step 6: Final answer
    x = 28,732.94

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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.