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Finding the Fourth Proportional to 77,222.16, 106,546.19 and 48,546.14

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Solution

The fourth proportional to 77,222.16, 106,546.19 and 48,546.14 is: 66,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,222.16 : 106,546.19 = 48,546.14 : x
  2. Step 2: Convert to fraction form
    77,222.16/106,546.19 = 48,546.14/x
  3. Step 3: Cross multiply
    77,222.16x = 106,546.19 × 48,546.14
  4. Step 4: Simplify right side
    77,222.16x = 5,172,405,480.74
  5. Step 5: Solve for x
    x = 5,172,405,480.74/77,222.16
  6. Step 6: Final answer
    x = 66,980.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.