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Finding the Fourth Proportional to 45,543, 68,185.69 and 24,146.97

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Solution

The fourth proportional to 45,543, 68,185.69 and 24,146.97 is: 36,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,543 : 68,185.69 = 24,146.97 : x
  2. Step 2: Convert to fraction form
    45,543/68,185.69 = 24,146.97/x
  3. Step 3: Cross multiply
    45,543x = 68,185.69 × 24,146.97
  4. Step 4: Simplify right side
    45,543x = 1,646,477,810.86
  5. Step 5: Solve for x
    x = 1,646,477,810.86/45,543
  6. Step 6: Final answer
    x = 36,152.16

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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.