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Finding the Fourth Proportional to 31,900.32, 47,850.45 and 10,842.57

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Solution

The fourth proportional to 31,900.32, 47,850.45 and 10,842.57 is: 16,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.32 : 47,850.45 = 10,842.57 : x
  2. Step 2: Convert to fraction form
    31,900.32/47,850.45 = 10,842.57/x
  3. Step 3: Cross multiply
    31,900.32x = 47,850.45 × 10,842.57
  4. Step 4: Simplify right side
    31,900.32x = 518,821,853.66
  5. Step 5: Solve for x
    x = 518,821,853.66/31,900.32
  6. Step 6: Final answer
    x = 16,263.84

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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.