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Finding the Fourth Proportional to 42,506.94, 63,762.54 and 16,213.74

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Solution

The fourth proportional to 42,506.94, 63,762.54 and 16,213.74 is: 24,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.94 : 63,762.54 = 16,213.74 : x
  2. Step 2: Convert to fraction form
    42,506.94/63,762.54 = 16,213.74/x
  3. Step 3: Cross multiply
    42,506.94x = 63,762.54 × 16,213.74
  4. Step 4: Simplify right side
    42,506.94x = 1,033,829,245.30
  5. Step 5: Solve for x
    x = 1,033,829,245.30/42,506.94
  6. Step 6: Final answer
    x = 24,321.42

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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.