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Finding the Fourth Proportional to 31,009.86, 46,520.37 and 11,316.06

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Solution

The fourth proportional to 31,009.86, 46,520.37 and 11,316.06 is: 16,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.86 : 46,520.37 = 11,316.06 : x
  2. Step 2: Convert to fraction form
    31,009.86/46,520.37 = 11,316.06/x
  3. Step 3: Cross multiply
    31,009.86x = 46,520.37 × 11,316.06
  4. Step 4: Simplify right side
    31,009.86x = 526,427,298.14
  5. Step 5: Solve for x
    x = 526,427,298.14/31,009.86
  6. Step 6: Final answer
    x = 16,976.13

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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.