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Finding the Fourth Proportional to 52,211.46, 78,317.19 and 12,768.11

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Solution

The fourth proportional to 52,211.46, 78,317.19 and 12,768.11 is: 19,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211.46 : 78,317.19 = 12,768.11 : x
  2. Step 2: Convert to fraction form
    52,211.46/78,317.19 = 12,768.11/x
  3. Step 3: Cross multiply
    52,211.46x = 78,317.19 × 12,768.11
  4. Step 4: Simplify right side
    52,211.46x = 999,962,105.22
  5. Step 5: Solve for x
    x = 999,962,105.22/52,211.46
  6. Step 6: Final answer
    x = 19,152.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.