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Finding the Fourth Proportional to 30,835.79, 42,554.16 and 17,407.31

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Solution

The fourth proportional to 30,835.79, 42,554.16 and 17,407.31 is: 24,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.79 : 42,554.16 = 17,407.31 : x
  2. Step 2: Convert to fraction form
    30,835.79/42,554.16 = 17,407.31/x
  3. Step 3: Cross multiply
    30,835.79x = 42,554.16 × 17,407.31
  4. Step 4: Simplify right side
    30,835.79x = 740,753,242.14
  5. Step 5: Solve for x
    x = 740,753,242.14/30,835.79
  6. Step 6: Final answer
    x = 24,022.52

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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.