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Finding the Fourth Proportional to 32,657.80, 48,984.94 and 19,156.48

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Solution

The fourth proportional to 32,657.80, 48,984.94 and 19,156.48 is: 28,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.80 : 48,984.94 = 19,156.48 : x
  2. Step 2: Convert to fraction form
    32,657.80/48,984.94 = 19,156.48/x
  3. Step 3: Cross multiply
    32,657.80x = 48,984.94 × 19,156.48
  4. Step 4: Simplify right side
    32,657.80x = 938,379,023.41
  5. Step 5: Solve for x
    x = 938,379,023.41/32,657.80
  6. Step 6: Final answer
    x = 28,733.69

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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.