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Finding the Fourth Proportional to 31,808.16, 47,704.95 and 14,283

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Solution

The fourth proportional to 31,808.16, 47,704.95 and 14,283 is: 21,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.16 : 47,704.95 = 14,283 : x
  2. Step 2: Convert to fraction form
    31,808.16/47,704.95 = 14,283/x
  3. Step 3: Cross multiply
    31,808.16x = 47,704.95 × 14,283
  4. Step 4: Simplify right side
    31,808.16x = 681,369,800.85
  5. Step 5: Solve for x
    x = 681,369,800.85/31,808.16
  6. Step 6: Final answer
    x = 21,421.23

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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.