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Finding the Fourth Proportional to 46,642.70, 69,964.05 and 23,314.70

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Solution

The fourth proportional to 46,642.70, 69,964.05 and 23,314.70 is: 34,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.70 : 69,964.05 = 23,314.70 : x
  2. Step 2: Convert to fraction form
    46,642.70/69,964.05 = 23,314.70/x
  3. Step 3: Cross multiply
    46,642.70x = 69,964.05 × 23,314.70
  4. Step 4: Simplify right side
    46,642.70x = 1,631,190,836.54
  5. Step 5: Solve for x
    x = 1,631,190,836.54/46,642.70
  6. Step 6: Final answer
    x = 34,972.05

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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.