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Finding the Fourth Proportional to 31,685.34, 47,526.49 and 10,625.68

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Solution

The fourth proportional to 31,685.34, 47,526.49 and 10,625.68 is: 15,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.34 : 47,526.49 = 10,625.68 : x
  2. Step 2: Convert to fraction form
    31,685.34/47,526.49 = 10,625.68/x
  3. Step 3: Cross multiply
    31,685.34x = 47,526.49 × 10,625.68
  4. Step 4: Simplify right side
    31,685.34x = 505,000,983.50
  5. Step 5: Solve for x
    x = 505,000,983.50/31,685.34
  6. Step 6: Final answer
    x = 15,938.00

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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.