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Finding the Fourth Proportional to 38,509.53, 53,137.89 and 21,511.61

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Solution

The fourth proportional to 38,509.53, 53,137.89 and 21,511.61 is: 29,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.53 : 53,137.89 = 21,511.61 : x
  2. Step 2: Convert to fraction form
    38,509.53/53,137.89 = 21,511.61/x
  3. Step 3: Cross multiply
    38,509.53x = 53,137.89 × 21,511.61
  4. Step 4: Simplify right side
    38,509.53x = 1,143,081,300.21
  5. Step 5: Solve for x
    x = 1,143,081,300.21/38,509.53
  6. Step 6: Final answer
    x = 29,683.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.