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Finding the Fourth Proportional to 30,924.50, 42,675.82 and 17,495.48

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Solution

The fourth proportional to 30,924.50, 42,675.82 and 17,495.48 is: 24,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.50 : 42,675.82 = 17,495.48 : x
  2. Step 2: Convert to fraction form
    30,924.50/42,675.82 = 17,495.48/x
  3. Step 3: Cross multiply
    30,924.50x = 42,675.82 × 17,495.48
  4. Step 4: Simplify right side
    30,924.50x = 746,633,955.29
  5. Step 5: Solve for x
    x = 746,633,955.29/30,924.50
  6. Step 6: Final answer
    x = 24,143.77

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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.