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Finding the Fourth Proportional to 38,176.48, 52,683.36 and 21,409.48

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Solution

The fourth proportional to 38,176.48, 52,683.36 and 21,409.48 is: 29,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.48 : 52,683.36 = 21,409.48 : x
  2. Step 2: Convert to fraction form
    38,176.48/52,683.36 = 21,409.48/x
  3. Step 3: Cross multiply
    38,176.48x = 52,683.36 × 21,409.48
  4. Step 4: Simplify right side
    38,176.48x = 1,127,923,342.25
  5. Step 5: Solve for x
    x = 1,127,923,342.25/38,176.48
  6. Step 6: Final answer
    x = 29,544.98

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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.