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Finding the Fourth Proportional to 35,139.50, 52,717.01 and 16,409.33

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Solution

The fourth proportional to 35,139.50, 52,717.01 and 16,409.33 is: 24,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,139.50 : 52,717.01 = 16,409.33 : x
  2. Step 2: Convert to fraction form
    35,139.50/52,717.01 = 16,409.33/x
  3. Step 3: Cross multiply
    35,139.50x = 52,717.01 × 16,409.33
  4. Step 4: Simplify right side
    35,139.50x = 865,050,468.07
  5. Step 5: Solve for x
    x = 865,050,468.07/35,139.50
  6. Step 6: Final answer
    x = 24,617.61

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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.