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Finding the Fourth Proportional to 77,435.68, 106,893.86 and 52,319.20

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Solution

The fourth proportional to 77,435.68, 106,893.86 and 52,319.20 is: 72,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,435.68 : 106,893.86 = 52,319.20 : x
  2. Step 2: Convert to fraction form
    77,435.68/106,893.86 = 52,319.20/x
  3. Step 3: Cross multiply
    77,435.68x = 106,893.86 × 52,319.20
  4. Step 4: Simplify right side
    77,435.68x = 5,592,601,240.11
  5. Step 5: Solve for x
    x = 5,592,601,240.11/77,435.68
  6. Step 6: Final answer
    x = 72,222.54

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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.