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Finding the Fourth Proportional to 34,885.76, 52,322.88 and 10,256

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Solution

The fourth proportional to 34,885.76, 52,322.88 and 10,256 is: 15,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,885.76 : 52,322.88 = 10,256 : x
  2. Step 2: Convert to fraction form
    34,885.76/52,322.88 = 10,256/x
  3. Step 3: Cross multiply
    34,885.76x = 52,322.88 × 10,256
  4. Step 4: Simplify right side
    34,885.76x = 536,623,457.28
  5. Step 5: Solve for x
    x = 536,623,457.28/34,885.76
  6. Step 6: Final answer
    x = 15,382.31

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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.