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Finding the Fourth Proportional to 49,364.68, 74,031.66 and 16,525

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Solution

The fourth proportional to 49,364.68, 74,031.66 and 16,525 is: 24,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,364.68 : 74,031.66 = 16,525 : x
  2. Step 2: Convert to fraction form
    49,364.68/74,031.66 = 16,525/x
  3. Step 3: Cross multiply
    49,364.68x = 74,031.66 × 16,525
  4. Step 4: Simplify right side
    49,364.68x = 1,223,373,181.50
  5. Step 5: Solve for x
    x = 1,223,373,181.50/49,364.68
  6. Step 6: Final answer
    x = 24,782.36

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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.