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Finding the Fourth Proportional to 41,126, 61,697.64 and 16,502

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Solution

The fourth proportional to 41,126, 61,697.64 and 16,502 is: 24,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,126 : 61,697.64 = 16,502 : x
  2. Step 2: Convert to fraction form
    41,126/61,697.64 = 16,502/x
  3. Step 3: Cross multiply
    41,126x = 61,697.64 × 16,502
  4. Step 4: Simplify right side
    41,126x = 1,018,134,455.28
  5. Step 5: Solve for x
    x = 1,018,134,455.28/41,126
  6. Step 6: Final answer
    x = 24,756.47

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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.