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Finding the Fourth Proportional to 31,706.40, 47,566.08 and 14,178

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Solution

The fourth proportional to 31,706.40, 47,566.08 and 14,178 is: 21,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.40 : 47,566.08 = 14,178 : x
  2. Step 2: Convert to fraction form
    31,706.40/47,566.08 = 14,178/x
  3. Step 3: Cross multiply
    31,706.40x = 47,566.08 × 14,178
  4. Step 4: Simplify right side
    31,706.40x = 674,391,882.24
  5. Step 5: Solve for x
    x = 674,391,882.24/31,706.40
  6. Step 6: Final answer
    x = 21,269.90

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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.