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Finding the Fourth Proportional to 46,395.94, 69,531.87 and 24,162.64

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Solution

The fourth proportional to 46,395.94, 69,531.87 and 24,162.64 is: 36,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,395.94 : 69,531.87 = 24,162.64 : x
  2. Step 2: Convert to fraction form
    46,395.94/69,531.87 = 24,162.64/x
  3. Step 3: Cross multiply
    46,395.94x = 69,531.87 × 24,162.64
  4. Step 4: Simplify right side
    46,395.94x = 1,680,073,543.34
  5. Step 5: Solve for x
    x = 1,680,073,543.34/46,395.94
  6. Step 6: Final answer
    x = 36,211.65

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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.