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Finding the Fourth Proportional to 35,366.32, 52,978.29 and 16,364.17

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Solution

The fourth proportional to 35,366.32, 52,978.29 and 16,364.17 is: 24,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,366.32 : 52,978.29 = 16,364.17 : x
  2. Step 2: Convert to fraction form
    35,366.32/52,978.29 = 16,364.17/x
  3. Step 3: Cross multiply
    35,366.32x = 52,978.29 × 16,364.17
  4. Step 4: Simplify right side
    35,366.32x = 866,945,743.87
  5. Step 5: Solve for x
    x = 866,945,743.87/35,366.32
  6. Step 6: Final answer
    x = 24,513.32

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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.