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Finding the Fourth Proportional to 30,900.96, 46,357.92 and 10,126.08

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Solution

The fourth proportional to 30,900.96, 46,357.92 and 10,126.08 is: 15,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.96 : 46,357.92 = 10,126.08 : x
  2. Step 2: Convert to fraction form
    30,900.96/46,357.92 = 10,126.08/x
  3. Step 3: Cross multiply
    30,900.96x = 46,357.92 × 10,126.08
  4. Step 4: Simplify right side
    30,900.96x = 469,424,006.55
  5. Step 5: Solve for x
    x = 469,424,006.55/30,900.96
  6. Step 6: Final answer
    x = 15,191.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.