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Finding the Fourth Proportional to 42,408.80, 63,657.36 and 31,328

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Solution

The fourth proportional to 42,408.80, 63,657.36 and 31,328 is: 47,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408.80 : 63,657.36 = 31,328 : x
  2. Step 2: Convert to fraction form
    42,408.80/63,657.36 = 31,328/x
  3. Step 3: Cross multiply
    42,408.80x = 63,657.36 × 31,328
  4. Step 4: Simplify right side
    42,408.80x = 1,994,257,774.08
  5. Step 5: Solve for x
    x = 1,994,257,774.08/42,408.80
  6. Step 6: Final answer
    x = 47,024.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.