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Finding the Fourth Proportional to 34,964, 52,454.88 and 10,340

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Solution

The fourth proportional to 34,964, 52,454.88 and 10,340 is: 15,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,964 : 52,454.88 = 10,340 : x
  2. Step 2: Convert to fraction form
    34,964/52,454.88 = 10,340/x
  3. Step 3: Cross multiply
    34,964x = 52,454.88 × 10,340
  4. Step 4: Simplify right side
    34,964x = 542,383,459.20
  5. Step 5: Solve for x
    x = 542,383,459.20/34,964
  6. Step 6: Final answer
    x = 15,512.63

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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.