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Finding the Fourth Proportional to 30,731.49, 46,098.14 and 12,010.77

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Solution

The fourth proportional to 30,731.49, 46,098.14 and 12,010.77 is: 18,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.49 : 46,098.14 = 12,010.77 : x
  2. Step 2: Convert to fraction form
    30,731.49/46,098.14 = 12,010.77/x
  3. Step 3: Cross multiply
    30,731.49x = 46,098.14 × 12,010.77
  4. Step 4: Simplify right side
    30,731.49x = 553,674,096.91
  5. Step 5: Solve for x
    x = 553,674,096.91/30,731.49
  6. Step 6: Final answer
    x = 18,016.51

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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.