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Finding the Fourth Proportional to 30,835.71, 42,555.20 and 17,402.06

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Solution

The fourth proportional to 30,835.71, 42,555.20 and 17,402.06 is: 24,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.71 : 42,555.20 = 17,402.06 : x
  2. Step 2: Convert to fraction form
    30,835.71/42,555.20 = 17,402.06/x
  3. Step 3: Cross multiply
    30,835.71x = 42,555.20 × 17,402.06
  4. Step 4: Simplify right side
    30,835.71x = 740,548,143.71
  5. Step 5: Solve for x
    x = 740,548,143.71/30,835.71
  6. Step 6: Final answer
    x = 24,015.93

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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.