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Finding the Fourth Proportional to 30,685.84, 42,348.52 and 23,118.82

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Solution

The fourth proportional to 30,685.84, 42,348.52 and 23,118.82 is: 31,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.84 : 42,348.52 = 23,118.82 : x
  2. Step 2: Convert to fraction form
    30,685.84/42,348.52 = 23,118.82/x
  3. Step 3: Cross multiply
    30,685.84x = 42,348.52 × 23,118.82
  4. Step 4: Simplify right side
    30,685.84x = 979,047,734.17
  5. Step 5: Solve for x
    x = 979,047,734.17/30,685.84
  6. Step 6: Final answer
    x = 31,905.52

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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.