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Finding the Fourth Proportional to 21,757.50, 32,585.64 and 21,158.89

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Solution

The fourth proportional to 21,757.50, 32,585.64 and 21,158.89 is: 31,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.50 : 32,585.64 = 21,158.89 : x
  2. Step 2: Convert to fraction form
    21,757.50/32,585.64 = 21,158.89/x
  3. Step 3: Cross multiply
    21,757.50x = 32,585.64 × 21,158.89
  4. Step 4: Simplify right side
    21,757.50x = 689,475,811.53
  5. Step 5: Solve for x
    x = 689,475,811.53/21,757.50
  6. Step 6: Final answer
    x = 31,689.11

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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.