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Finding the Fourth Proportional to 30,944, 42,708.12 and 18,368.48

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Solution

The fourth proportional to 30,944, 42,708.12 and 18,368.48 is: 25,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944 : 42,708.12 = 18,368.48 : x
  2. Step 2: Convert to fraction form
    30,944/42,708.12 = 18,368.48/x
  3. Step 3: Cross multiply
    30,944x = 42,708.12 × 18,368.48
  4. Step 4: Simplify right side
    30,944x = 784,483,248.06
  5. Step 5: Solve for x
    x = 784,483,248.06/30,944
  6. Step 6: Final answer
    x = 25,351.71

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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.