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Finding the Fourth Proportional to 32,260, 48,363.84 and 11,472.16

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Solution

The fourth proportional to 32,260, 48,363.84 and 11,472.16 is: 17,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260 : 48,363.84 = 11,472.16 : x
  2. Step 2: Convert to fraction form
    32,260/48,363.84 = 11,472.16/x
  3. Step 3: Cross multiply
    32,260x = 48,363.84 × 11,472.16
  4. Step 4: Simplify right side
    32,260x = 554,837,710.69
  5. Step 5: Solve for x
    x = 554,837,710.69/32,260
  6. Step 6: Final answer
    x = 17,198.94

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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.