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Finding the Fourth Proportional to 35,176, 52,762.10 and 8,880.96

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Solution

The fourth proportional to 35,176, 52,762.10 and 8,880.96 is: 13,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,176 : 52,762.10 = 8,880.96 : x
  2. Step 2: Convert to fraction form
    35,176/52,762.10 = 8,880.96/x
  3. Step 3: Cross multiply
    35,176x = 52,762.10 × 8,880.96
  4. Step 4: Simplify right side
    35,176x = 468,578,099.62
  5. Step 5: Solve for x
    x = 468,578,099.62/35,176
  6. Step 6: Final answer
    x = 13,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.