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Finding the Fourth Proportional to 46,210.38, 63,770.34 and 24,989.64

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Solution

The fourth proportional to 46,210.38, 63,770.34 and 24,989.64 is: 34,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210.38 : 63,770.34 = 24,989.64 : x
  2. Step 2: Convert to fraction form
    46,210.38/63,770.34 = 24,989.64/x
  3. Step 3: Cross multiply
    46,210.38x = 63,770.34 × 24,989.64
  4. Step 4: Simplify right side
    46,210.38x = 1,593,597,839.28
  5. Step 5: Solve for x
    x = 1,593,597,839.28/46,210.38
  6. Step 6: Final answer
    x = 34,485.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.