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Finding the Fourth Proportional to 55,936, 77,191.70 and 30,784.96

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Solution

The fourth proportional to 55,936, 77,191.70 and 30,784.96 is: 42,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,936 : 77,191.70 = 30,784.96 : x
  2. Step 2: Convert to fraction form
    55,936/77,191.70 = 30,784.96/x
  3. Step 3: Cross multiply
    55,936x = 77,191.70 × 30,784.96
  4. Step 4: Simplify right side
    55,936x = 2,376,343,396.83
  5. Step 5: Solve for x
    x = 2,376,343,396.83/55,936
  6. Step 6: Final answer
    x = 42,483.26

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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.