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Finding the Fourth Proportional to 46,617.70, 64,310.38 and 31,515.66

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Solution

The fourth proportional to 46,617.70, 64,310.38 and 31,515.66 is: 43,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,617.70 : 64,310.38 = 31,515.66 : x
  2. Step 2: Convert to fraction form
    46,617.70/64,310.38 = 31,515.66/x
  3. Step 3: Cross multiply
    46,617.70x = 64,310.38 × 31,515.66
  4. Step 4: Simplify right side
    46,617.70x = 2,026,784,070.55
  5. Step 5: Solve for x
    x = 2,026,784,070.55/46,617.70
  6. Step 6: Final answer
    x = 43,476.71

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Why These Related Problems?

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