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Finding the Fourth Proportional to 30,493.74, 42,077.34 and 19,897.68

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Solution

The fourth proportional to 30,493.74, 42,077.34 and 19,897.68 is: 27,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.74 : 42,077.34 = 19,897.68 : x
  2. Step 2: Convert to fraction form
    30,493.74/42,077.34 = 19,897.68/x
  3. Step 3: Cross multiply
    30,493.74x = 42,077.34 × 19,897.68
  4. Step 4: Simplify right side
    30,493.74x = 837,241,446.57
  5. Step 5: Solve for x
    x = 837,241,446.57/30,493.74
  6. Step 6: Final answer
    x = 27,456.17

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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.