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Finding the Fourth Proportional to 31,926.73, 47,889.95 and 9,740.03

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Solution

The fourth proportional to 31,926.73, 47,889.95 and 9,740.03 is: 14,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926.73 : 47,889.95 = 9,740.03 : x
  2. Step 2: Convert to fraction form
    31,926.73/47,889.95 = 9,740.03/x
  3. Step 3: Cross multiply
    31,926.73x = 47,889.95 × 9,740.03
  4. Step 4: Simplify right side
    31,926.73x = 466,449,549.70
  5. Step 5: Solve for x
    x = 466,449,549.70/31,926.73
  6. Step 6: Final answer
    x = 14,610.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.