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Finding the Fourth Proportional to 127,941, 191,911.50 and 34,446.75

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Solution

The fourth proportional to 127,941, 191,911.50 and 34,446.75 is: 51,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,941 : 191,911.50 = 34,446.75 : x
  2. Step 2: Convert to fraction form
    127,941/191,911.50 = 34,446.75/x
  3. Step 3: Cross multiply
    127,941x = 191,911.50 × 34,446.75
  4. Step 4: Simplify right side
    127,941x = 6,610,727,462.63
  5. Step 5: Solve for x
    x = 6,610,727,462.63/127,941
  6. Step 6: Final answer
    x = 51,670.13

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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.