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Finding the Fourth Proportional to 34,401.68, 47,476.24 and 25,888.50

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Solution

The fourth proportional to 34,401.68, 47,476.24 and 25,888.50 is: 35,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401.68 : 47,476.24 = 25,888.50 : x
  2. Step 2: Convert to fraction form
    34,401.68/47,476.24 = 25,888.50/x
  3. Step 3: Cross multiply
    34,401.68x = 47,476.24 × 25,888.50
  4. Step 4: Simplify right side
    34,401.68x = 1,229,088,639.24
  5. Step 5: Solve for x
    x = 1,229,088,639.24/34,401.68
  6. Step 6: Final answer
    x = 35,727.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.