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Finding the Fourth Proportional to 34,277.76, 51,410.88 and 9,648

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Solution

The fourth proportional to 34,277.76, 51,410.88 and 9,648 is: 14,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.76 : 51,410.88 = 9,648 : x
  2. Step 2: Convert to fraction form
    34,277.76/51,410.88 = 9,648/x
  3. Step 3: Cross multiply
    34,277.76x = 51,410.88 × 9,648
  4. Step 4: Simplify right side
    34,277.76x = 496,012,170.24
  5. Step 5: Solve for x
    x = 496,012,170.24/34,277.76
  6. Step 6: Final answer
    x = 14,470.38

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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.