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Finding the Fourth Proportional to 53,408, 73,701.82 and 29,534.88

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Solution

The fourth proportional to 53,408, 73,701.82 and 29,534.88 is: 40,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 73,701.82 = 29,534.88 : x
  2. Step 2: Convert to fraction form
    53,408/73,701.82 = 29,534.88/x
  3. Step 3: Cross multiply
    53,408x = 73,701.82 × 29,534.88
  4. Step 4: Simplify right side
    53,408x = 2,176,774,409.48
  5. Step 5: Solve for x
    x = 2,176,774,409.48/53,408
  6. Step 6: Final answer
    x = 40,757.46

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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.