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Finding the Fourth Proportional to 30,544.92, 45,802.90 and 11,833.72

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Solution

The fourth proportional to 30,544.92, 45,802.90 and 11,833.72 is: 17,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.92 : 45,802.90 = 11,833.72 : x
  2. Step 2: Convert to fraction form
    30,544.92/45,802.90 = 11,833.72/x
  3. Step 3: Cross multiply
    30,544.92x = 45,802.90 × 11,833.72
  4. Step 4: Simplify right side
    30,544.92x = 542,018,693.79
  5. Step 5: Solve for x
    x = 542,018,693.79/30,544.92
  6. Step 6: Final answer
    x = 17,744.97

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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.