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Finding the Fourth Proportional to 30,768.84, 42,465.06 and 17,343

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Solution

The fourth proportional to 30,768.84, 42,465.06 and 17,343 is: 23,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.84 : 42,465.06 = 17,343 : x
  2. Step 2: Convert to fraction form
    30,768.84/42,465.06 = 17,343/x
  3. Step 3: Cross multiply
    30,768.84x = 42,465.06 × 17,343
  4. Step 4: Simplify right side
    30,768.84x = 736,471,535.58
  5. Step 5: Solve for x
    x = 736,471,535.58/30,768.84
  6. Step 6: Final answer
    x = 23,935.63

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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.