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Finding the Fourth Proportional to 32,687.50, 49,038.54 and 11,911

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Solution

The fourth proportional to 32,687.50, 49,038.54 and 11,911 is: 17,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687.50 : 49,038.54 = 11,911 : x
  2. Step 2: Convert to fraction form
    32,687.50/49,038.54 = 11,911/x
  3. Step 3: Cross multiply
    32,687.50x = 49,038.54 × 11,911
  4. Step 4: Simplify right side
    32,687.50x = 584,098,049.94
  5. Step 5: Solve for x
    x = 584,098,049.94/32,687.50
  6. Step 6: Final answer
    x = 17,869.16

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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.