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Finding the Fourth Proportional to 31,523.63, 47,292.36 and 9,338.74

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Solution

The fourth proportional to 31,523.63, 47,292.36 and 9,338.74 is: 14,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.63 : 47,292.36 = 9,338.74 : x
  2. Step 2: Convert to fraction form
    31,523.63/47,292.36 = 9,338.74/x
  3. Step 3: Cross multiply
    31,523.63x = 47,292.36 × 9,338.74
  4. Step 4: Simplify right side
    31,523.63x = 441,651,054.03
  5. Step 5: Solve for x
    x = 441,651,054.03/31,523.63
  6. Step 6: Final answer
    x = 14,010.16

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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.