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Finding the Fourth Proportional to 30,977.58, 42,749.16 and 17,551.32

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Solution

The fourth proportional to 30,977.58, 42,749.16 and 17,551.32 is: 24,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.58 : 42,749.16 = 17,551.32 : x
  2. Step 2: Convert to fraction form
    30,977.58/42,749.16 = 17,551.32/x
  3. Step 3: Cross multiply
    30,977.58x = 42,749.16 × 17,551.32
  4. Step 4: Simplify right side
    30,977.58x = 750,304,186.89
  5. Step 5: Solve for x
    x = 750,304,186.89/30,977.58
  6. Step 6: Final answer
    x = 24,220.88

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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.