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Finding the Fourth Proportional to 38,509.93, 53,142.04 and 21,514.11

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Solution

The fourth proportional to 38,509.93, 53,142.04 and 21,514.11 is: 29,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.93 : 53,142.04 = 21,514.11 : x
  2. Step 2: Convert to fraction form
    38,509.93/53,142.04 = 21,514.11/x
  3. Step 3: Cross multiply
    38,509.93x = 53,142.04 × 21,514.11
  4. Step 4: Simplify right side
    38,509.93x = 1,143,303,320.90
  5. Step 5: Solve for x
    x = 1,143,303,320.90/38,509.93
  6. Step 6: Final answer
    x = 29,688.53

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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.