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Finding the Fourth Proportional to 31,693.60, 47,548.29 and 9,507.41

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Solution

The fourth proportional to 31,693.60, 47,548.29 and 9,507.41 is: 14,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.60 : 47,548.29 = 9,507.41 : x
  2. Step 2: Convert to fraction form
    31,693.60/47,548.29 = 9,507.41/x
  3. Step 3: Cross multiply
    31,693.60x = 47,548.29 × 9,507.41
  4. Step 4: Simplify right side
    31,693.60x = 452,060,850.09
  5. Step 5: Solve for x
    x = 452,060,850.09/31,693.60
  6. Step 6: Final answer
    x = 14,263.48

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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.