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Finding the Fourth Proportional to 38,662.24, 53,303.12 and 27,898.08

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Solution

The fourth proportional to 38,662.24, 53,303.12 and 27,898.08 is: 38,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.24 : 53,303.12 = 27,898.08 : x
  2. Step 2: Convert to fraction form
    38,662.24/53,303.12 = 27,898.08/x
  3. Step 3: Cross multiply
    38,662.24x = 53,303.12 × 27,898.08
  4. Step 4: Simplify right side
    38,662.24x = 1,487,054,706.01
  5. Step 5: Solve for x
    x = 1,487,054,706.01/38,662.24
  6. Step 6: Final answer
    x = 38,462.71

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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.