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Finding the Fourth Proportional to 46,190.70, 69,176.70 and 31,319.10

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Solution

The fourth proportional to 46,190.70, 69,176.70 and 31,319.10 is: 46,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,190.70 : 69,176.70 = 31,319.10 : x
  2. Step 2: Convert to fraction form
    46,190.70/69,176.70 = 31,319.10/x
  3. Step 3: Cross multiply
    46,190.70x = 69,176.70 × 31,319.10
  4. Step 4: Simplify right side
    46,190.70x = 2,166,551,984.97
  5. Step 5: Solve for x
    x = 2,166,551,984.97/46,190.70
  6. Step 6: Final answer
    x = 46,904.51

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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.