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Finding the Fourth Proportional to 30,948.36, 42,710.85 and 17,519.58

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Solution

The fourth proportional to 30,948.36, 42,710.85 and 17,519.58 is: 24,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.36 : 42,710.85 = 17,519.58 : x
  2. Step 2: Convert to fraction form
    30,948.36/42,710.85 = 17,519.58/x
  3. Step 3: Cross multiply
    30,948.36x = 42,710.85 × 17,519.58
  4. Step 4: Simplify right side
    30,948.36x = 748,276,153.44
  5. Step 5: Solve for x
    x = 748,276,153.44/30,948.36
  6. Step 6: Final answer
    x = 24,178.22

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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.