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Finding the Fourth Proportional to 46,778.40, 64,441.12 and 40,042.40

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Solution

The fourth proportional to 46,778.40, 64,441.12 and 40,042.40 is: 55,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,778.40 : 64,441.12 = 40,042.40 : x
  2. Step 2: Convert to fraction form
    46,778.40/64,441.12 = 40,042.40/x
  3. Step 3: Cross multiply
    46,778.40x = 64,441.12 × 40,042.40
  4. Step 4: Simplify right side
    46,778.40x = 2,580,377,103.49
  5. Step 5: Solve for x
    x = 2,580,377,103.49/46,778.40
  6. Step 6: Final answer
    x = 55,161.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.