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Finding the Fourth Proportional to 46,235, 69,343.28 and 14,639.66

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Solution

The fourth proportional to 46,235, 69,343.28 and 14,639.66 is: 21,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,235 : 69,343.28 = 14,639.66 : x
  2. Step 2: Convert to fraction form
    46,235/69,343.28 = 14,639.66/x
  3. Step 3: Cross multiply
    46,235x = 69,343.28 × 14,639.66
  4. Step 4: Simplify right side
    46,235x = 1,015,162,042.48
  5. Step 5: Solve for x
    x = 1,015,162,042.48/46,235
  6. Step 6: Final answer
    x = 21,956.57

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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.