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Finding the Fourth Proportional to 35,066, 52,624.92 and 16,598

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Solution

The fourth proportional to 35,066, 52,624.92 and 16,598 is: 24,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,066 : 52,624.92 = 16,598 : x
  2. Step 2: Convert to fraction form
    35,066/52,624.92 = 16,598/x
  3. Step 3: Cross multiply
    35,066x = 52,624.92 × 16,598
  4. Step 4: Simplify right side
    35,066x = 873,468,422.16
  5. Step 5: Solve for x
    x = 873,468,422.16/35,066
  6. Step 6: Final answer
    x = 24,909.27

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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.