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Finding the Fourth Proportional to 42,408.90, 63,644.94 and 16,164.90

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Solution

The fourth proportional to 42,408.90, 63,644.94 and 16,164.90 is: 24,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408.90 : 63,644.94 = 16,164.90 : x
  2. Step 2: Convert to fraction form
    42,408.90/63,644.94 = 16,164.90/x
  3. Step 3: Cross multiply
    42,408.90x = 63,644.94 × 16,164.90
  4. Step 4: Simplify right side
    42,408.90x = 1,028,814,090.61
  5. Step 5: Solve for x
    x = 1,028,814,090.61/42,408.90
  6. Step 6: Final answer
    x = 24,259.39

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1.5x scale

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.