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Finding the Fourth Proportional to 126,127.68, 189,186 and 31,355.84

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Solution

The fourth proportional to 126,127.68, 189,186 and 31,355.84 is: 47,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,127.68 : 189,186 = 31,355.84 : x
  2. Step 2: Convert to fraction form
    126,127.68/189,186 = 31,355.84/x
  3. Step 3: Cross multiply
    126,127.68x = 189,186 × 31,355.84
  4. Step 4: Simplify right side
    126,127.68x = 5,932,085,946.24
  5. Step 5: Solve for x
    x = 5,932,085,946.24/126,127.68
  6. Step 6: Final answer
    x = 47,032.39

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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.