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Finding the Fourth Proportional to 31,122, 42,948.36 and 19,944

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Solution

The fourth proportional to 31,122, 42,948.36 and 19,944 is: 27,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 42,948.36 = 19,944 : x
  2. Step 2: Convert to fraction form
    31,122/42,948.36 = 19,944/x
  3. Step 3: Cross multiply
    31,122x = 42,948.36 × 19,944
  4. Step 4: Simplify right side
    31,122x = 856,562,091.84
  5. Step 5: Solve for x
    x = 856,562,091.84/31,122
  6. Step 6: Final answer
    x = 27,522.72

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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.