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Finding the Fourth Proportional to 31,607.53, 47,410.71 and 9,435.94

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Solution

The fourth proportional to 31,607.53, 47,410.71 and 9,435.94 is: 14,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.53 : 47,410.71 = 9,435.94 : x
  2. Step 2: Convert to fraction form
    31,607.53/47,410.71 = 9,435.94/x
  3. Step 3: Cross multiply
    31,607.53x = 47,410.71 × 9,435.94
  4. Step 4: Simplify right side
    31,607.53x = 447,364,614.92
  5. Step 5: Solve for x
    x = 447,364,614.92/31,607.53
  6. Step 6: Final answer
    x = 14,153.74

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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.