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Finding the Fourth Proportional to 30,971.58, 42,741.24 and 17,542.50

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Solution

The fourth proportional to 30,971.58, 42,741.24 and 17,542.50 is: 24,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.58 : 42,741.24 = 17,542.50 : x
  2. Step 2: Convert to fraction form
    30,971.58/42,741.24 = 17,542.50/x
  3. Step 3: Cross multiply
    30,971.58x = 42,741.24 × 17,542.50
  4. Step 4: Simplify right side
    30,971.58x = 749,788,202.70
  5. Step 5: Solve for x
    x = 749,788,202.70/30,971.58
  6. Step 6: Final answer
    x = 24,208.91

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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.