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Finding the Fourth Proportional to 46,478.25, 69,728.31 and 15,313.50

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Solution

The fourth proportional to 46,478.25, 69,728.31 and 15,313.50 is: 22,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.25 : 69,728.31 = 15,313.50 : x
  2. Step 2: Convert to fraction form
    46,478.25/69,728.31 = 15,313.50/x
  3. Step 3: Cross multiply
    46,478.25x = 69,728.31 × 15,313.50
  4. Step 4: Simplify right side
    46,478.25x = 1,067,784,475.19
  5. Step 5: Solve for x
    x = 1,067,784,475.19/46,478.25
  6. Step 6: Final answer
    x = 22,973.85

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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.