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Finding the Fourth Proportional to 30,767.84, 42,446.31 and 19,429.46

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Solution

The fourth proportional to 30,767.84, 42,446.31 and 19,429.46 is: 26,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.84 : 42,446.31 = 19,429.46 : x
  2. Step 2: Convert to fraction form
    30,767.84/42,446.31 = 19,429.46/x
  3. Step 3: Cross multiply
    30,767.84x = 42,446.31 × 19,429.46
  4. Step 4: Simplify right side
    30,767.84x = 824,708,882.29
  5. Step 5: Solve for x
    x = 824,708,882.29/30,767.84
  6. Step 6: Final answer
    x = 26,804.25

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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.