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Finding the Fourth Proportional to 31,014.58, 46,522 and 9,667.56

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Solution

The fourth proportional to 31,014.58, 46,522 and 9,667.56 is: 14,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.58 : 46,522 = 9,667.56 : x
  2. Step 2: Convert to fraction form
    31,014.58/46,522 = 9,667.56/x
  3. Step 3: Cross multiply
    31,014.58x = 46,522 × 9,667.56
  4. Step 4: Simplify right side
    31,014.58x = 449,754,226.32
  5. Step 5: Solve for x
    x = 449,754,226.32/31,014.58
  6. Step 6: Final answer
    x = 14,501.38

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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.