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Finding the Fourth Proportional to 31,398.81, 43,330.23 and 17,970

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Solution

The fourth proportional to 31,398.81, 43,330.23 and 17,970 is: 24,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.81 : 43,330.23 = 17,970 : x
  2. Step 2: Convert to fraction form
    31,398.81/43,330.23 = 17,970/x
  3. Step 3: Cross multiply
    31,398.81x = 43,330.23 × 17,970
  4. Step 4: Simplify right side
    31,398.81x = 778,644,233.10
  5. Step 5: Solve for x
    x = 778,644,233.10/31,398.81
  6. Step 6: Final answer
    x = 24,798.53

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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.