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Finding the Fourth Proportional to 53,881.10, 80,830.16 and 16,432.60

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Solution

The fourth proportional to 53,881.10, 80,830.16 and 16,432.60 is: 24,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.10 : 80,830.16 = 16,432.60 : x
  2. Step 2: Convert to fraction form
    53,881.10/80,830.16 = 16,432.60/x
  3. Step 3: Cross multiply
    53,881.10x = 80,830.16 × 16,432.60
  4. Step 4: Simplify right side
    53,881.10x = 1,328,249,687.22
  5. Step 5: Solve for x
    x = 1,328,249,687.22/53,881.10
  6. Step 6: Final answer
    x = 24,651.50

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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.