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Finding the Fourth Proportional to 32,689.98, 48,973.11 and 19,322.96

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Solution

The fourth proportional to 32,689.98, 48,973.11 and 19,322.96 is: 28,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.98 : 48,973.11 = 19,322.96 : x
  2. Step 2: Convert to fraction form
    32,689.98/48,973.11 = 19,322.96/x
  3. Step 3: Cross multiply
    32,689.98x = 48,973.11 × 19,322.96
  4. Step 4: Simplify right side
    32,689.98x = 946,305,128.28
  5. Step 5: Solve for x
    x = 946,305,128.28/32,689.98
  6. Step 6: Final answer
    x = 28,947.87

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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.