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Finding the Fourth Proportional to 31,953.48, 47,937.24 and 9,768.58

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Solution

The fourth proportional to 31,953.48, 47,937.24 and 9,768.58 is: 14,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.48 : 47,937.24 = 9,768.58 : x
  2. Step 2: Convert to fraction form
    31,953.48/47,937.24 = 9,768.58/x
  3. Step 3: Cross multiply
    31,953.48x = 47,937.24 × 9,768.58
  4. Step 4: Simplify right side
    31,953.48x = 468,278,763.92
  5. Step 5: Solve for x
    x = 468,278,763.92/31,953.48
  6. Step 6: Final answer
    x = 14,655.02

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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.