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Finding the Fourth Proportional to 46,573, 69,861.82 and 13,298

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Solution

The fourth proportional to 46,573, 69,861.82 and 13,298 is: 19,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573 : 69,861.82 = 13,298 : x
  2. Step 2: Convert to fraction form
    46,573/69,861.82 = 13,298/x
  3. Step 3: Cross multiply
    46,573x = 69,861.82 × 13,298
  4. Step 4: Simplify right side
    46,573x = 929,022,482.36
  5. Step 5: Solve for x
    x = 929,022,482.36/46,573
  6. Step 6: Final answer
    x = 19,947.66

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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.