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Finding the Fourth Proportional to 60,161, 90,241.50 and 16,385

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Solution

The fourth proportional to 60,161, 90,241.50 and 16,385 is: 24,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,161 : 90,241.50 = 16,385 : x
  2. Step 2: Convert to fraction form
    60,161/90,241.50 = 16,385/x
  3. Step 3: Cross multiply
    60,161x = 90,241.50 × 16,385
  4. Step 4: Simplify right side
    60,161x = 1,478,606,977.50
  5. Step 5: Solve for x
    x = 1,478,606,977.50/60,161
  6. Step 6: Final answer
    x = 24,577.50

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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.