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Finding the Fourth Proportional to 31,645.35, 47,460.74 and 9,458.24

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Solution

The fourth proportional to 31,645.35, 47,460.74 and 9,458.24 is: 14,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.35 : 47,460.74 = 9,458.24 : x
  2. Step 2: Convert to fraction form
    31,645.35/47,460.74 = 9,458.24/x
  3. Step 3: Cross multiply
    31,645.35x = 47,460.74 × 9,458.24
  4. Step 4: Simplify right side
    31,645.35x = 448,894,784.90
  5. Step 5: Solve for x
    x = 448,894,784.90/31,645.35
  6. Step 6: Final answer
    x = 14,185.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.