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Finding the Fourth Proportional to 30,566.57, 42,207.08 and 19,254.31

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Solution

The fourth proportional to 30,566.57, 42,207.08 and 19,254.31 is: 26,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.57 : 42,207.08 = 19,254.31 : x
  2. Step 2: Convert to fraction form
    30,566.57/42,207.08 = 19,254.31/x
  3. Step 3: Cross multiply
    30,566.57x = 42,207.08 × 19,254.31
  4. Step 4: Simplify right side
    30,566.57x = 812,668,000.73
  5. Step 5: Solve for x
    x = 812,668,000.73/30,566.57
  6. Step 6: Final answer
    x = 26,586.83

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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.