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Finding the Fourth Proportional to 39,526.18, 59,222.31 and 23,911

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Solution

The fourth proportional to 39,526.18, 59,222.31 and 23,911 is: 35,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,526.18 : 59,222.31 = 23,911 : x
  2. Step 2: Convert to fraction form
    39,526.18/59,222.31 = 23,911/x
  3. Step 3: Cross multiply
    39,526.18x = 59,222.31 × 23,911
  4. Step 4: Simplify right side
    39,526.18x = 1,416,064,654.41
  5. Step 5: Solve for x
    x = 1,416,064,654.41/39,526.18
  6. Step 6: Final answer
    x = 35,825.99

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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.