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Finding the Fourth Proportional to 31,111.70, 42,934.11 and 18,364.90

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Solution

The fourth proportional to 31,111.70, 42,934.11 and 18,364.90 is: 25,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.70 : 42,934.11 = 18,364.90 : x
  2. Step 2: Convert to fraction form
    31,111.70/42,934.11 = 18,364.90/x
  3. Step 3: Cross multiply
    31,111.70x = 42,934.11 × 18,364.90
  4. Step 4: Simplify right side
    31,111.70x = 788,480,636.74
  5. Step 5: Solve for x
    x = 788,480,636.74/31,111.70
  6. Step 6: Final answer
    x = 25,343.54

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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.