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Finding the Fourth Proportional to 32,473.64, 48,673.52 and 13,741.98

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Solution

The fourth proportional to 32,473.64, 48,673.52 and 13,741.98 is: 20,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.64 : 48,673.52 = 13,741.98 : x
  2. Step 2: Convert to fraction form
    32,473.64/48,673.52 = 13,741.98/x
  3. Step 3: Cross multiply
    32,473.64x = 48,673.52 × 13,741.98
  4. Step 4: Simplify right side
    32,473.64x = 668,870,538.37
  5. Step 5: Solve for x
    x = 668,870,538.37/32,473.64
  6. Step 6: Final answer
    x = 20,597.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.