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Finding the Fourth Proportional to 40,486.50, 60,739.47 and 12,784.50

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Solution

The fourth proportional to 40,486.50, 60,739.47 and 12,784.50 is: 19,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486.50 : 60,739.47 = 12,784.50 : x
  2. Step 2: Convert to fraction form
    40,486.50/60,739.47 = 12,784.50/x
  3. Step 3: Cross multiply
    40,486.50x = 60,739.47 × 12,784.50
  4. Step 4: Simplify right side
    40,486.50x = 776,523,754.22
  5. Step 5: Solve for x
    x = 776,523,754.22/40,486.50
  6. Step 6: Final answer
    x = 19,179.82

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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.