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Finding the Fourth Proportional to 34,916, 52,406.40 and 16,206.08

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Solution

The fourth proportional to 34,916, 52,406.40 and 16,206.08 is: 24,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,916 : 52,406.40 = 16,206.08 : x
  2. Step 2: Convert to fraction form
    34,916/52,406.40 = 16,206.08/x
  3. Step 3: Cross multiply
    34,916x = 52,406.40 × 16,206.08
  4. Step 4: Simplify right side
    34,916x = 849,302,310.91
  5. Step 5: Solve for x
    x = 849,302,310.91/34,916
  6. Step 6: Final answer
    x = 24,324.16

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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.