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Finding the Fourth Proportional to 30,151.31, 45,231.08 and 10,424.57

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Solution

The fourth proportional to 30,151.31, 45,231.08 and 10,424.57 is: 15,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.31 : 45,231.08 = 10,424.57 : x
  2. Step 2: Convert to fraction form
    30,151.31/45,231.08 = 10,424.57/x
  3. Step 3: Cross multiply
    30,151.31x = 45,231.08 × 10,424.57
  4. Step 4: Simplify right side
    30,151.31x = 471,514,281.36
  5. Step 5: Solve for x
    x = 471,514,281.36/30,151.31
  6. Step 6: Final answer
    x = 15,638.27

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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.