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Finding the Fourth Proportional to 35,169, 52,754.16 and 16,443.96

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Solution

The fourth proportional to 35,169, 52,754.16 and 16,443.96 is: 24,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,169 : 52,754.16 = 16,443.96 : x
  2. Step 2: Convert to fraction form
    35,169/52,754.16 = 16,443.96/x
  3. Step 3: Cross multiply
    35,169x = 52,754.16 × 16,443.96
  4. Step 4: Simplify right side
    35,169x = 867,487,296.87
  5. Step 5: Solve for x
    x = 867,487,296.87/35,169
  6. Step 6: Final answer
    x = 24,666.25

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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.