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Finding the Fourth Proportional to 32,178.99, 48,266.56 and 19,114.50

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Solution

The fourth proportional to 32,178.99, 48,266.56 and 19,114.50 is: 28,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.99 : 48,266.56 = 19,114.50 : x
  2. Step 2: Convert to fraction form
    32,178.99/48,266.56 = 19,114.50/x
  3. Step 3: Cross multiply
    32,178.99x = 48,266.56 × 19,114.50
  4. Step 4: Simplify right side
    32,178.99x = 922,591,161.12
  5. Step 5: Solve for x
    x = 922,591,161.12/32,178.99
  6. Step 6: Final answer
    x = 28,670.61

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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.