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Finding the Fourth Proportional to 46,510.34, 69,765.78 and 11,449.76

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Solution

The fourth proportional to 46,510.34, 69,765.78 and 11,449.76 is: 17,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.34 : 69,765.78 = 11,449.76 : x
  2. Step 2: Convert to fraction form
    46,510.34/69,765.78 = 11,449.76/x
  3. Step 3: Cross multiply
    46,510.34x = 69,765.78 × 11,449.76
  4. Step 4: Simplify right side
    46,510.34x = 798,801,437.21
  5. Step 5: Solve for x
    x = 798,801,437.21/46,510.34
  6. Step 6: Final answer
    x = 17,174.71

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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.