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Finding the Fourth Proportional to 27,415.84, 41,106.46 and 23,257.32

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Solution

The fourth proportional to 27,415.84, 41,106.46 and 23,257.32 is: 34,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.84 : 41,106.46 = 23,257.32 : x
  2. Step 2: Convert to fraction form
    27,415.84/41,106.46 = 23,257.32/x
  3. Step 3: Cross multiply
    27,415.84x = 41,106.46 × 23,257.32
  4. Step 4: Simplify right side
    27,415.84x = 956,026,094.29
  5. Step 5: Solve for x
    x = 956,026,094.29/27,415.84
  6. Step 6: Final answer
    x = 34,871.30

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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.