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Finding the Fourth Proportional to 40,698, 56,165.05 and 22,792.62

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Solution

The fourth proportional to 40,698, 56,165.05 and 22,792.62 is: 31,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 56,165.05 = 22,792.62 : x
  2. Step 2: Convert to fraction form
    40,698/56,165.05 = 22,792.62/x
  3. Step 3: Cross multiply
    40,698x = 56,165.05 × 22,792.62
  4. Step 4: Simplify right side
    40,698x = 1,280,148,641.93
  5. Step 5: Solve for x
    x = 1,280,148,641.93/40,698
  6. Step 6: Final answer
    x = 31,454.83

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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.