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Finding the Fourth Proportional to 30,032.70, 45,042.06 and 11,314.61

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Solution

The fourth proportional to 30,032.70, 45,042.06 and 11,314.61 is: 16,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.70 : 45,042.06 = 11,314.61 : x
  2. Step 2: Convert to fraction form
    30,032.70/45,042.06 = 11,314.61/x
  3. Step 3: Cross multiply
    30,032.70x = 45,042.06 × 11,314.61
  4. Step 4: Simplify right side
    30,032.70x = 509,633,342.50
  5. Step 5: Solve for x
    x = 509,633,342.50/30,032.70
  6. Step 6: Final answer
    x = 16,969.28

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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.