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Finding the Fourth Proportional to 103,644.72, 155,543.94 and 77,052.24

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Solution

The fourth proportional to 103,644.72, 155,543.94 and 77,052.24 is: 115,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,644.72 : 155,543.94 = 77,052.24 : x
  2. Step 2: Convert to fraction form
    103,644.72/155,543.94 = 77,052.24/x
  3. Step 3: Cross multiply
    103,644.72x = 155,543.94 × 77,052.24
  4. Step 4: Simplify right side
    103,644.72x = 11,985,008,995.43
  5. Step 5: Solve for x
    x = 11,985,008,995.43/103,644.72
  6. Step 6: Final answer
    x = 115,635.50

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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.