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Finding the Fourth Proportional to 34,701.28, 47,838 and 24,748

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Solution

The fourth proportional to 34,701.28, 47,838 and 24,748 is: 34,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.28 : 47,838 = 24,748 : x
  2. Step 2: Convert to fraction form
    34,701.28/47,838 = 24,748/x
  3. Step 3: Cross multiply
    34,701.28x = 47,838 × 24,748
  4. Step 4: Simplify right side
    34,701.28x = 1,183,894,824
  5. Step 5: Solve for x
    x = 1,183,894,824/34,701.28
  6. Step 6: Final answer
    x = 34,116.75

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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.