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Finding the Fourth Proportional to 30,821.34, 42,534.54 and 17,391.81

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Solution

The fourth proportional to 30,821.34, 42,534.54 and 17,391.81 is: 24,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.34 : 42,534.54 = 17,391.81 : x
  2. Step 2: Convert to fraction form
    30,821.34/42,534.54 = 17,391.81/x
  3. Step 3: Cross multiply
    30,821.34x = 42,534.54 × 17,391.81
  4. Step 4: Simplify right side
    30,821.34x = 739,752,638.12
  5. Step 5: Solve for x
    x = 739,752,638.12/30,821.34
  6. Step 6: Final answer
    x = 24,001.31

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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.