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Finding the Fourth Proportional to 30,546.20, 45,804.92 and 11,835

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Solution

The fourth proportional to 30,546.20, 45,804.92 and 11,835 is: 17,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.20 : 45,804.92 = 11,835 : x
  2. Step 2: Convert to fraction form
    30,546.20/45,804.92 = 11,835/x
  3. Step 3: Cross multiply
    30,546.20x = 45,804.92 × 11,835
  4. Step 4: Simplify right side
    30,546.20x = 542,101,228.20
  5. Step 5: Solve for x
    x = 542,101,228.20/30,546.20
  6. Step 6: Final answer
    x = 17,746.93

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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.