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Finding the Fourth Proportional to 34,734.40, 52,101.60 and 11,363.20

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Solution

The fourth proportional to 34,734.40, 52,101.60 and 11,363.20 is: 17,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734.40 : 52,101.60 = 11,363.20 : x
  2. Step 2: Convert to fraction form
    34,734.40/52,101.60 = 11,363.20/x
  3. Step 3: Cross multiply
    34,734.40x = 52,101.60 × 11,363.20
  4. Step 4: Simplify right side
    34,734.40x = 592,040,901.12
  5. Step 5: Solve for x
    x = 592,040,901.12/34,734.40
  6. Step 6: Final answer
    x = 17,044.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.