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Finding the Fourth Proportional to 46,682.70, 69,914.70 and 31,811.10

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Solution

The fourth proportional to 46,682.70, 69,914.70 and 31,811.10 is: 47,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,682.70 : 69,914.70 = 31,811.10 : x
  2. Step 2: Convert to fraction form
    46,682.70/69,914.70 = 31,811.10/x
  3. Step 3: Cross multiply
    46,682.70x = 69,914.70 × 31,811.10
  4. Step 4: Simplify right side
    46,682.70x = 2,224,063,513.17
  5. Step 5: Solve for x
    x = 2,224,063,513.17/46,682.70
  6. Step 6: Final answer
    x = 47,642.14

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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.