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Finding the Fourth Proportional to 52,039.76, 78,059.84 and 12,596.82

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Solution

The fourth proportional to 52,039.76, 78,059.84 and 12,596.82 is: 18,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.76 : 78,059.84 = 12,596.82 : x
  2. Step 2: Convert to fraction form
    52,039.76/78,059.84 = 12,596.82/x
  3. Step 3: Cross multiply
    52,039.76x = 78,059.84 × 12,596.82
  4. Step 4: Simplify right side
    52,039.76x = 983,305,753.71
  5. Step 5: Solve for x
    x = 983,305,753.71/52,039.76
  6. Step 6: Final answer
    x = 18,895.28

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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.