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Finding the Fourth Proportional to 35,212.84, 52,827.92 and 10,253.10

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Solution

The fourth proportional to 35,212.84, 52,827.92 and 10,253.10 is: 15,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212.84 : 52,827.92 = 10,253.10 : x
  2. Step 2: Convert to fraction form
    35,212.84/52,827.92 = 10,253.10/x
  3. Step 3: Cross multiply
    35,212.84x = 52,827.92 × 10,253.10
  4. Step 4: Simplify right side
    35,212.84x = 541,649,946.55
  5. Step 5: Solve for x
    x = 541,649,946.55/35,212.84
  6. Step 6: Final answer
    x = 15,382.17

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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.