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Finding the Fourth Proportional to 38,148.48, 52,644.74 and 21,381.48

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Solution

The fourth proportional to 38,148.48, 52,644.74 and 21,381.48 is: 29,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148.48 : 52,644.74 = 21,381.48 : x
  2. Step 2: Convert to fraction form
    38,148.48/52,644.74 = 21,381.48/x
  3. Step 3: Cross multiply
    38,148.48x = 52,644.74 × 21,381.48
  4. Step 4: Simplify right side
    38,148.48x = 1,125,622,348.51
  5. Step 5: Solve for x
    x = 1,125,622,348.51/38,148.48
  6. Step 6: Final answer
    x = 29,506.35

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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.