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Finding the Fourth Proportional to 34,420.71, 51,621.14 and 9,461.57

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Solution

The fourth proportional to 34,420.71, 51,621.14 and 9,461.57 is: 14,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,420.71 : 51,621.14 = 9,461.57 : x
  2. Step 2: Convert to fraction form
    34,420.71/51,621.14 = 9,461.57/x
  3. Step 3: Cross multiply
    34,420.71x = 51,621.14 × 9,461.57
  4. Step 4: Simplify right side
    34,420.71x = 488,416,917.76
  5. Step 5: Solve for x
    x = 488,416,917.76/34,420.71
  6. Step 6: Final answer
    x = 14,189.63

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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.