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Finding the Fourth Proportional to 38,459.40, 53,076.64 and 21,466.95

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Solution

The fourth proportional to 38,459.40, 53,076.64 and 21,466.95 is: 29,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.40 : 53,076.64 = 21,466.95 : x
  2. Step 2: Convert to fraction form
    38,459.40/53,076.64 = 21,466.95/x
  3. Step 3: Cross multiply
    38,459.40x = 53,076.64 × 21,466.95
  4. Step 4: Simplify right side
    38,459.40x = 1,139,393,469.71
  5. Step 5: Solve for x
    x = 1,139,393,469.71/38,459.40
  6. Step 6: Final answer
    x = 29,625.88

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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.