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Finding the Fourth Proportional to 42,416.58, 63,617.04 and 16,114.98

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Solution

The fourth proportional to 42,416.58, 63,617.04 and 16,114.98 is: 24,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416.58 : 63,617.04 = 16,114.98 : x
  2. Step 2: Convert to fraction form
    42,416.58/63,617.04 = 16,114.98/x
  3. Step 3: Cross multiply
    42,416.58x = 63,617.04 × 16,114.98
  4. Step 4: Simplify right side
    42,416.58x = 1,025,187,327.26
  5. Step 5: Solve for x
    x = 1,025,187,327.26/42,416.58
  6. Step 6: Final answer
    x = 24,169.50

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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.