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Finding the Fourth Proportional to 30,876.63, 42,640.02 and 26,374.14

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Solution

The fourth proportional to 30,876.63, 42,640.02 and 26,374.14 is: 36,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.63 : 42,640.02 = 26,374.14 : x
  2. Step 2: Convert to fraction form
    30,876.63/42,640.02 = 26,374.14/x
  3. Step 3: Cross multiply
    30,876.63x = 42,640.02 × 26,374.14
  4. Step 4: Simplify right side
    30,876.63x = 1,124,593,857.08
  5. Step 5: Solve for x
    x = 1,124,593,857.08/30,876.63
  6. Step 6: Final answer
    x = 36,422.17

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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.