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Finding the Fourth Proportional to 31,465.32, 47,196.86 and 13,695.94

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Solution

The fourth proportional to 31,465.32, 47,196.86 and 13,695.94 is: 20,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.32 : 47,196.86 = 13,695.94 : x
  2. Step 2: Convert to fraction form
    31,465.32/47,196.86 = 13,695.94/x
  3. Step 3: Cross multiply
    31,465.32x = 47,196.86 × 13,695.94
  4. Step 4: Simplify right side
    31,465.32x = 646,405,362.75
  5. Step 5: Solve for x
    x = 646,405,362.75/31,465.32
  6. Step 6: Final answer
    x = 20,543.42

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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.