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Finding the Fourth Proportional to 94,649.85, 141,944.08 and 31,453

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Solution

The fourth proportional to 94,649.85, 141,944.08 and 31,453 is: 47,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,649.85 : 141,944.08 = 31,453 : x
  2. Step 2: Convert to fraction form
    94,649.85/141,944.08 = 31,453/x
  3. Step 3: Cross multiply
    94,649.85x = 141,944.08 × 31,453
  4. Step 4: Simplify right side
    94,649.85x = 4,464,567,148.24
  5. Step 5: Solve for x
    x = 4,464,567,148.24/94,649.85
  6. Step 6: Final answer
    x = 47,169.30

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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.