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Finding the Fourth Proportional to 30,732.76, 46,098.42 and 8,543.80

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Solution

The fourth proportional to 30,732.76, 46,098.42 and 8,543.80 is: 12,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.76 : 46,098.42 = 8,543.80 : x
  2. Step 2: Convert to fraction form
    30,732.76/46,098.42 = 8,543.80/x
  3. Step 3: Cross multiply
    30,732.76x = 46,098.42 × 8,543.80
  4. Step 4: Simplify right side
    30,732.76x = 393,855,680.80
  5. Step 5: Solve for x
    x = 393,855,680.80/30,732.76
  6. Step 6: Final answer
    x = 12,815.50

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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.