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Finding the Fourth Proportional to 38,706.48, 53,408.22 and 21,708

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Solution

The fourth proportional to 38,706.48, 53,408.22 and 21,708 is: 29,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.48 : 53,408.22 = 21,708 : x
  2. Step 2: Convert to fraction form
    38,706.48/53,408.22 = 21,708/x
  3. Step 3: Cross multiply
    38,706.48x = 53,408.22 × 21,708
  4. Step 4: Simplify right side
    38,706.48x = 1,159,385,639.76
  5. Step 5: Solve for x
    x = 1,159,385,639.76/38,706.48
  6. Step 6: Final answer
    x = 29,953.27

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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.