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Finding the Fourth Proportional to 112,896.64, 169,349.64 and 46,289.80

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Solution

The fourth proportional to 112,896.64, 169,349.64 and 46,289.80 is: 69,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,896.64 : 169,349.64 = 46,289.80 : x
  2. Step 2: Convert to fraction form
    112,896.64/169,349.64 = 46,289.80/x
  3. Step 3: Cross multiply
    112,896.64x = 169,349.64 × 46,289.80
  4. Step 4: Simplify right side
    112,896.64x = 7,839,160,965.67
  5. Step 5: Solve for x
    x = 7,839,160,965.67/112,896.64
  6. Step 6: Final answer
    x = 69,436.62

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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.